Finding the Fourth Proportional to 378.74, 567.96 and 135.14
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Solution
The fourth proportional to 378.74, 567.96 and 135.14 is: 202.66
Step by Step Solution
- Step 1: Write the proportion equation
378.74 : 567.96 = 135.14 : x - Step 2: Convert to fraction form
378.74/567.96 = 135.14/x - Step 3: Cross multiply
378.74x = 567.96 × 135.14 - Step 4: Simplify right side
378.74x = 76,754.11 - Step 5: Solve for x
x = 76,754.11/378.74 - Step 6: Final answer
x = 202.66
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.