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Finding the Fourth Proportional to 402.11, 603.10 and 142.03

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Solution

The fourth proportional to 402.11, 603.10 and 142.03 is: 213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.11 : 603.10 = 142.03 : x
  2. Step 2: Convert to fraction form
    402.11/603.10 = 142.03/x
  3. Step 3: Cross multiply
    402.11x = 603.10 × 142.03
  4. Step 4: Simplify right side
    402.11x = 85,654.57
  5. Step 5: Solve for x
    x = 85,654.57/402.11
  6. Step 6: Final answer
    x = 213.02

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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.