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Finding the Fourth Proportional to 232.39, 321.28 and 174.07

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Solution

The fourth proportional to 232.39, 321.28 and 174.07 is: 240.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.39 : 321.28 = 174.07 : x
  2. Step 2: Convert to fraction form
    232.39/321.28 = 174.07/x
  3. Step 3: Cross multiply
    232.39x = 321.28 × 174.07
  4. Step 4: Simplify right side
    232.39x = 55,926.16
  5. Step 5: Solve for x
    x = 55,926.16/232.39
  6. Step 6: Final answer
    x = 240.66

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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.