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Finding the Fourth Proportional to 402.87, 604.00 and 159.33

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Solution

The fourth proportional to 402.87, 604.00 and 159.33 is: 238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.87 : 604.00 = 159.33 : x
  2. Step 2: Convert to fraction form
    402.87/604.00 = 159.33/x
  3. Step 3: Cross multiply
    402.87x = 604.00 × 159.33
  4. Step 4: Simplify right side
    402.87x = 96,234.52
  5. Step 5: Solve for x
    x = 96,234.52/402.87
  6. Step 6: Final answer
    x = 238.87

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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.