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Finding the Fourth Proportional to 159.36, 238.89 and 113.79

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Solution

The fourth proportional to 159.36, 238.89 and 113.79 is: 170.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.36 : 238.89 = 113.79 : x
  2. Step 2: Convert to fraction form
    159.36/238.89 = 113.79/x
  3. Step 3: Cross multiply
    159.36x = 238.89 × 113.79
  4. Step 4: Simplify right side
    159.36x = 27,183.29
  5. Step 5: Solve for x
    x = 27,183.29/159.36
  6. Step 6: Final answer
    x = 170.58

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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.