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Finding the Fourth Proportional to 159.14, 237.82 and 129.92

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Solution

The fourth proportional to 159.14, 237.82 and 129.92 is: 194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.14 : 237.82 = 129.92 : x
  2. Step 2: Convert to fraction form
    159.14/237.82 = 129.92/x
  3. Step 3: Cross multiply
    159.14x = 237.82 × 129.92
  4. Step 4: Simplify right side
    159.14x = 30,897.57
  5. Step 5: Solve for x
    x = 30,897.57/159.14
  6. Step 6: Final answer
    x = 194.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.