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Finding the Fourth Proportional to 159.43, 219.78 and 115.20

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Solution

The fourth proportional to 159.43, 219.78 and 115.20 is: 158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.43 : 219.78 = 115.20 : x
  2. Step 2: Convert to fraction form
    159.43/219.78 = 115.20/x
  3. Step 3: Cross multiply
    159.43x = 219.78 × 115.20
  4. Step 4: Simplify right side
    159.43x = 25,318.66
  5. Step 5: Solve for x
    x = 25,318.66/159.43
  6. Step 6: Final answer
    x = 158.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.