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Finding the Fourth Proportional to 232.76, 321.06 and 180.22

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Solution

The fourth proportional to 232.76, 321.06 and 180.22 is: 248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.76 : 321.06 = 180.22 : x
  2. Step 2: Convert to fraction form
    232.76/321.06 = 180.22/x
  3. Step 3: Cross multiply
    232.76x = 321.06 × 180.22
  4. Step 4: Simplify right side
    232.76x = 57,861.43
  5. Step 5: Solve for x
    x = 57,861.43/232.76
  6. Step 6: Final answer
    x = 248.59

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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.