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Finding the Fourth Proportional to 232.57, 321.06 and 134.31

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Solution

The fourth proportional to 232.57, 321.06 and 134.31 is: 185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.57 : 321.06 = 134.31 : x
  2. Step 2: Convert to fraction form
    232.57/321.06 = 134.31/x
  3. Step 3: Cross multiply
    232.57x = 321.06 × 134.31
  4. Step 4: Simplify right side
    232.57x = 43,121.57
  5. Step 5: Solve for x
    x = 43,121.57/232.57
  6. Step 6: Final answer
    x = 185.41

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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.