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Finding the Fourth Proportional to 232.79, 321.17 and 180.54

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Solution

The fourth proportional to 232.79, 321.17 and 180.54 is: 249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.79 : 321.17 = 180.54 : x
  2. Step 2: Convert to fraction form
    232.79/321.17 = 180.54/x
  3. Step 3: Cross multiply
    232.79x = 321.17 × 180.54
  4. Step 4: Simplify right side
    232.79x = 57,983.13
  5. Step 5: Solve for x
    x = 57,983.13/232.79
  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.