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Finding the Fourth Proportional to 238.70, 329.24 and 180.38

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Solution

The fourth proportional to 238.70, 329.24 and 180.38 is: 248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.70 : 329.24 = 180.38 : x
  2. Step 2: Convert to fraction form
    238.70/329.24 = 180.38/x
  3. Step 3: Cross multiply
    238.70x = 329.24 × 180.38
  4. Step 4: Simplify right side
    238.70x = 59,385.76
  5. Step 5: Solve for x
    x = 59,385.76/238.70
  6. Step 6: Final answer
    x = 248.79

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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.