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Finding the Fourth Proportional to 402.46, 603.82 and 158.85

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Solution

The fourth proportional to 402.46, 603.82 and 158.85 is: 238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.46 : 603.82 = 158.85 : x
  2. Step 2: Convert to fraction form
    402.46/603.82 = 158.85/x
  3. Step 3: Cross multiply
    402.46x = 603.82 × 158.85
  4. Step 4: Simplify right side
    402.46x = 95,916.81
  5. Step 5: Solve for x
    x = 95,916.81/402.46
  6. Step 6: Final answer
    x = 238.33

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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.