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Finding the Fourth Proportional to 402.02, 602.96 and 158.71

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Solution

The fourth proportional to 402.02, 602.96 and 158.71 is: 238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.02 : 602.96 = 158.71 : x
  2. Step 2: Convert to fraction form
    402.02/602.96 = 158.71/x
  3. Step 3: Cross multiply
    402.02x = 602.96 × 158.71
  4. Step 4: Simplify right side
    402.02x = 95,694.67
  5. Step 5: Solve for x
    x = 95,694.67/402.02
  6. Step 6: Final answer
    x = 238.04

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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.