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Finding the Fourth Proportional to 159.27, 238.66 and 139.96

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Solution

The fourth proportional to 159.27, 238.66 and 139.96 is: 209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.27 : 238.66 = 139.96 : x
  2. Step 2: Convert to fraction form
    159.27/238.66 = 139.96/x
  3. Step 3: Cross multiply
    159.27x = 238.66 × 139.96
  4. Step 4: Simplify right side
    159.27x = 33,402.85
  5. Step 5: Solve for x
    x = 33,402.85/159.27
  6. Step 6: Final answer
    x = 209.72

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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.