Finding the Fourth Proportional to 398.68, 597.66 and 142.12
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Solution
The fourth proportional to 398.68, 597.66 and 142.12 is: 213.05
Step by Step Solution
- Step 1: Write the proportion equation
398.68 : 597.66 = 142.12 : x - Step 2: Convert to fraction form
398.68/597.66 = 142.12/x - Step 3: Cross multiply
398.68x = 597.66 × 142.12 - Step 4: Simplify right side
398.68x = 84,939.44 - Step 5: Solve for x
x = 84,939.44/398.68 - Step 6: Final answer
x = 213.05
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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.