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Finding the Fourth Proportional to 159.14, 238.24 and 120.80

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Solution

The fourth proportional to 159.14, 238.24 and 120.80 is: 180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.14 : 238.24 = 120.80 : x
  2. Step 2: Convert to fraction form
    159.14/238.24 = 120.80/x
  3. Step 3: Cross multiply
    159.14x = 238.24 × 120.80
  4. Step 4: Simplify right side
    159.14x = 28,780.14
  5. Step 5: Solve for x
    x = 28,780.14/159.14
  6. Step 6: Final answer
    x = 180.85

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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.