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Finding the Fourth Proportional to 232.89, 321.74 and 180.65

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Solution

The fourth proportional to 232.89, 321.74 and 180.65 is: 249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.89 : 321.74 = 180.65 : x
  2. Step 2: Convert to fraction form
    232.89/321.74 = 180.65/x
  3. Step 3: Cross multiply
    232.89x = 321.74 × 180.65
  4. Step 4: Simplify right side
    232.89x = 58,119.82
  5. Step 5: Solve for x
    x = 58,119.82/232.89
  6. Step 6: Final answer
    x = 249.56

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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.