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Finding the Fourth Proportional to 447.71, 671.57 and 159.14

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Solution

The fourth proportional to 447.71, 671.57 and 159.14 is: 238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.71 : 671.57 = 159.14 : x
  2. Step 2: Convert to fraction form
    447.71/671.57 = 159.14/x
  3. Step 3: Cross multiply
    447.71x = 671.57 × 159.14
  4. Step 4: Simplify right side
    447.71x = 106,869.50
  5. Step 5: Solve for x
    x = 106,869.50/447.71
  6. Step 6: Final answer
    x = 238.71

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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.