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Finding the Fourth Proportional to 415.92, 624 and 142.04

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Solution

The fourth proportional to 415.92, 624 and 142.04 is: 213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.92 : 624 = 142.04 : x
  2. Step 2: Convert to fraction form
    415.92/624 = 142.04/x
  3. Step 3: Cross multiply
    415.92x = 624 × 142.04
  4. Step 4: Simplify right side
    415.92x = 88,632.96
  5. Step 5: Solve for x
    x = 88,632.96/415.92
  6. Step 6: Final answer
    x = 213.10

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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.