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Finding the Fourth Proportional to 159.92, 239.91 and 114.19

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Solution

The fourth proportional to 159.92, 239.91 and 114.19 is: 171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.92 : 239.91 = 114.19 : x
  2. Step 2: Convert to fraction form
    159.92/239.91 = 114.19/x
  3. Step 3: Cross multiply
    159.92x = 239.91 × 114.19
  4. Step 4: Simplify right side
    159.92x = 27,396.29
  5. Step 5: Solve for x
    x = 27,396.29/159.92
  6. Step 6: Final answer
    x = 171.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.