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Finding the Fourth Proportional to 402.01, 602.97 and 158.59

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Solution

The fourth proportional to 402.01, 602.97 and 158.59 is: 237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.01 : 602.97 = 158.59 : x
  2. Step 2: Convert to fraction form
    402.01/602.97 = 158.59/x
  3. Step 3: Cross multiply
    402.01x = 602.97 × 158.59
  4. Step 4: Simplify right side
    402.01x = 95,625.01
  5. Step 5: Solve for x
    x = 95,625.01/402.01
  6. Step 6: Final answer
    x = 237.87

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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.