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Finding the Fourth Proportional to 232.60, 320.82 and 174.52

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Solution

The fourth proportional to 232.60, 320.82 and 174.52 is: 240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.60 : 320.82 = 174.52 : x
  2. Step 2: Convert to fraction form
    232.60/320.82 = 174.52/x
  3. Step 3: Cross multiply
    232.60x = 320.82 × 174.52
  4. Step 4: Simplify right side
    232.60x = 55,989.51
  5. Step 5: Solve for x
    x = 55,989.51/232.60
  6. Step 6: Final answer
    x = 240.71

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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.