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Finding the Fourth Proportional to 402.47, 603.71 and 145.97

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Solution

The fourth proportional to 402.47, 603.71 and 145.97 is: 218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.47 : 603.71 = 145.97 : x
  2. Step 2: Convert to fraction form
    402.47/603.71 = 145.97/x
  3. Step 3: Cross multiply
    402.47x = 603.71 × 145.97
  4. Step 4: Simplify right side
    402.47x = 88,123.55
  5. Step 5: Solve for x
    x = 88,123.55/402.47
  6. Step 6: Final answer
    x = 218.96

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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.