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Finding the Fourth Proportional to 542.71, 814.13 and 177.40

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Solution

The fourth proportional to 542.71, 814.13 and 177.40 is: 266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.71 : 814.13 = 177.40 : x
  2. Step 2: Convert to fraction form
    542.71/814.13 = 177.40/x
  3. Step 3: Cross multiply
    542.71x = 814.13 × 177.40
  4. Step 4: Simplify right side
    542.71x = 144,426.66
  5. Step 5: Solve for x
    x = 144,426.66/542.71
  6. Step 6: Final answer
    x = 266.12

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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.