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Finding the Fourth Proportional to 542.41, 813.51 and 177.14

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Solution

The fourth proportional to 542.41, 813.51 and 177.14 is: 265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.41 : 813.51 = 177.14 : x
  2. Step 2: Convert to fraction form
    542.41/813.51 = 177.14/x
  3. Step 3: Cross multiply
    542.41x = 813.51 × 177.14
  4. Step 4: Simplify right side
    542.41x = 144,107.20
  5. Step 5: Solve for x
    x = 144,107.20/542.41
  6. Step 6: Final answer
    x = 265.68

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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.