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Finding the Fourth Proportional to 232.67, 321.17 and 170.71

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Solution

The fourth proportional to 232.67, 321.17 and 170.71 is: 235.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.67 : 321.17 = 170.71 : x
  2. Step 2: Convert to fraction form
    232.67/321.17 = 170.71/x
  3. Step 3: Cross multiply
    232.67x = 321.17 × 170.71
  4. Step 4: Simplify right side
    232.67x = 54,825.27
  5. Step 5: Solve for x
    x = 54,825.27/232.67
  6. Step 6: Final answer
    x = 235.63

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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.