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Finding the Fourth Proportional to 232.92, 321.12 and 180.36

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Solution

The fourth proportional to 232.92, 321.12 and 180.36 is: 248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.92 : 321.12 = 180.36 : x
  2. Step 2: Convert to fraction form
    232.92/321.12 = 180.36/x
  3. Step 3: Cross multiply
    232.92x = 321.12 × 180.36
  4. Step 4: Simplify right side
    232.92x = 57,917.20
  5. Step 5: Solve for x
    x = 57,917.20/232.92
  6. Step 6: Final answer
    x = 248.66

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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.