Complete the ratio table.
Understand the Problem
The question is asking for help in completing a ratio table. Specifically, it appears that there is a missing value in the second column of the table that needs to be calculated based on the ratios presented in the other rows.
Answer
$363$
Answer for screen readers
The missing value in the second column is approximately $363$.
Steps to Solve
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Identify the Ratios First, observe the ratios between the two columns in the completed rows. For the rows provided:
- The ratio of 86 to 181.
- The ratio of 172 to the missing value.
- The ratio of 258 to 543.
- The ratio of 344 to 724.
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Calculate the Ratios for the First Column Find the ratio of the second column to the first column for the completed rows.
For row 1: $$ \frac{181}{86} \approx 2.109 $$
For row 3: $$ \frac{543}{258} \approx 2.1 $$
For row 4: $$ \frac{724}{344} \approx 2.109 $$
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Use the Ratio to Determine the Missing Value Use the ratio found to calculate the missing value in the second column corresponding to 172 in the first column.
Let ( x ) be the missing value: $$ \frac{x}{172} = 2.109 $$
Thus, $$ x = 172 \times 2.109 $$
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Calculate the Missing Value Perform the multiplication: $$ x = 172 \times 2.109 \approx 362.508 $$
Since we want a whole number for the ratio table, we can round this to 363.
The missing value in the second column is approximately $363$.
More Information
The missing value was derived from the consistent ratio observed in the completed rows of the table. This approach ensures that the relationships represented in the table hold true.
Tips
- Failing to simplify the ratios correctly during calculations.
- Not rounding the final answer appropriately when required.
