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Finding the Fourth Proportional to 232.72, 321.14 and 134.54

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Solution

The fourth proportional to 232.72, 321.14 and 134.54 is: 185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.72 : 321.14 = 134.54 : x
  2. Step 2: Convert to fraction form
    232.72/321.14 = 134.54/x
  3. Step 3: Cross multiply
    232.72x = 321.14 × 134.54
  4. Step 4: Simplify right side
    232.72x = 43,206.18
  5. Step 5: Solve for x
    x = 43,206.18/232.72
  6. Step 6: Final answer
    x = 185.66

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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.