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Finding the Fourth Proportional to 402.64, 603.77 and 142.57

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Solution

The fourth proportional to 402.64, 603.77 and 142.57 is: 213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.64 : 603.77 = 142.57 : x
  2. Step 2: Convert to fraction form
    402.64/603.77 = 142.57/x
  3. Step 3: Cross multiply
    402.64x = 603.77 × 142.57
  4. Step 4: Simplify right side
    402.64x = 86,079.53
  5. Step 5: Solve for x
    x = 86,079.53/402.64
  6. Step 6: Final answer
    x = 213.79

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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.