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Finding the Fourth Proportional to 542.34, 813.54 and 177.24

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Solution

The fourth proportional to 542.34, 813.54 and 177.24 is: 265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.34 : 813.54 = 177.24 : x
  2. Step 2: Convert to fraction form
    542.34/813.54 = 177.24/x
  3. Step 3: Cross multiply
    542.34x = 813.54 × 177.24
  4. Step 4: Simplify right side
    542.34x = 144,191.83
  5. Step 5: Solve for x
    x = 144,191.83/542.34
  6. Step 6: Final answer
    x = 265.87

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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.