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Finding the Fourth Proportional to 239.24, 329.37 and 180.92

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Solution

The fourth proportional to 239.24, 329.37 and 180.92 is: 249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.24 : 329.37 = 180.92 : x
  2. Step 2: Convert to fraction form
    239.24/329.37 = 180.92/x
  3. Step 3: Cross multiply
    239.24x = 329.37 × 180.92
  4. Step 4: Simplify right side
    239.24x = 59,589.62
  5. Step 5: Solve for x
    x = 59,589.62/239.24
  6. Step 6: Final answer
    x = 249.08

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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.