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Finding the Fourth Proportional to 542.52, 813.99 and 177.57

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Solution

The fourth proportional to 542.52, 813.99 and 177.57 is: 266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.52 : 813.99 = 177.57 : x
  2. Step 2: Convert to fraction form
    542.52/813.99 = 177.57/x
  3. Step 3: Cross multiply
    542.52x = 813.99 × 177.57
  4. Step 4: Simplify right side
    542.52x = 144,540.20
  5. Step 5: Solve for x
    x = 144,540.20/542.52
  6. Step 6: Final answer
    x = 266.42

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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.