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Finding the Fourth Proportional to 232.46, 321.01 and 174.14

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Solution

The fourth proportional to 232.46, 321.01 and 174.14 is: 240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.46 : 321.01 = 174.14 : x
  2. Step 2: Convert to fraction form
    232.46/321.01 = 174.14/x
  3. Step 3: Cross multiply
    232.46x = 321.01 × 174.14
  4. Step 4: Simplify right side
    232.46x = 55,900.68
  5. Step 5: Solve for x
    x = 55,900.68/232.46
  6. Step 6: Final answer
    x = 240.47

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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.