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Finding the Fourth Proportional to 232.49, 321.06 and 217.79

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Solution

The fourth proportional to 232.49, 321.06 and 217.79 is: 300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.49 : 321.06 = 217.79 : x
  2. Step 2: Convert to fraction form
    232.49/321.06 = 217.79/x
  3. Step 3: Cross multiply
    232.49x = 321.06 × 217.79
  4. Step 4: Simplify right side
    232.49x = 69,922.05
  5. Step 5: Solve for x
    x = 69,922.05/232.49
  6. Step 6: Final answer
    x = 300.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.