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Finding the Fourth Proportional to 159.72, 238.94 and 114.16

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Solution

The fourth proportional to 159.72, 238.94 and 114.16 is: 170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.72 : 238.94 = 114.16 : x
  2. Step 2: Convert to fraction form
    159.72/238.94 = 114.16/x
  3. Step 3: Cross multiply
    159.72x = 238.94 × 114.16
  4. Step 4: Simplify right side
    159.72x = 27,277.39
  5. Step 5: Solve for x
    x = 27,277.39/159.72
  6. Step 6: Final answer
    x = 170.78

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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.