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Finding the Fourth Proportional to 232.75, 321.44 and 180.91

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Solution

The fourth proportional to 232.75, 321.44 and 180.91 is: 249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.75 : 321.44 = 180.91 : x
  2. Step 2: Convert to fraction form
    232.75/321.44 = 180.91/x
  3. Step 3: Cross multiply
    232.75x = 321.44 × 180.91
  4. Step 4: Simplify right side
    232.75x = 58,152.23
  5. Step 5: Solve for x
    x = 58,152.23/232.75
  6. Step 6: Final answer
    x = 249.85

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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.