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Finding the Fourth Proportional to 238.92, 329.84 and 180.96

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Solution

The fourth proportional to 238.92, 329.84 and 180.96 is: 249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.92 : 329.84 = 180.96 : x
  2. Step 2: Convert to fraction form
    238.92/329.84 = 180.96/x
  3. Step 3: Cross multiply
    238.92x = 329.84 × 180.96
  4. Step 4: Simplify right side
    238.92x = 59,687.85
  5. Step 5: Solve for x
    x = 59,687.85/238.92
  6. Step 6: Final answer
    x = 249.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.