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Finding the Fourth Proportional to 402.24, 603.24 and 142.20

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Solution

The fourth proportional to 402.24, 603.24 and 142.20 is: 213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.24 : 603.24 = 142.20 : x
  2. Step 2: Convert to fraction form
    402.24/603.24 = 142.20/x
  3. Step 3: Cross multiply
    402.24x = 603.24 × 142.20
  4. Step 4: Simplify right side
    402.24x = 85,780.73
  5. Step 5: Solve for x
    x = 85,780.73/402.24
  6. Step 6: Final answer
    x = 213.26

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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.