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Finding the Fourth Proportional to 402.29, 602.97 and 158.61

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Solution

The fourth proportional to 402.29, 602.97 and 158.61 is: 237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.29 : 602.97 = 158.61 : x
  2. Step 2: Convert to fraction form
    402.29/602.97 = 158.61/x
  3. Step 3: Cross multiply
    402.29x = 602.97 × 158.61
  4. Step 4: Simplify right side
    402.29x = 95,637.07
  5. Step 5: Solve for x
    x = 95,637.07/402.29
  6. Step 6: Final answer
    x = 237.73

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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.