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Finding the Fourth Proportional to 402.46, 603.69 and 159.04

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Solution

The fourth proportional to 402.46, 603.69 and 159.04 is: 238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.46 : 603.69 = 159.04 : x
  2. Step 2: Convert to fraction form
    402.46/603.69 = 159.04/x
  3. Step 3: Cross multiply
    402.46x = 603.69 × 159.04
  4. Step 4: Simplify right side
    402.46x = 96,011.02
  5. Step 5: Solve for x
    x = 96,011.02/402.46
  6. Step 6: Final answer
    x = 238.56

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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.