Finding the Fourth Proportional to 213.15, 319.64 and 74.29
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Solution
The fourth proportional to 213.15, 319.64 and 74.29 is: 111.41
Step by Step Solution
- Step 1: Write the proportion equation
213.15 : 319.64 = 74.29 : x - Step 2: Convert to fraction form
213.15/319.64 = 74.29/x - Step 3: Cross multiply
213.15x = 319.64 × 74.29 - Step 4: Simplify right side
213.15x = 23,746.06 - Step 5: Solve for x
x = 23,746.06/213.15 - Step 6: Final answer
x = 111.41
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.