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Finding the Fourth Proportional to 232.96, 321.52 and 134.78

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Solution

The fourth proportional to 232.96, 321.52 and 134.78 is: 186.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.96 : 321.52 = 134.78 : x
  2. Step 2: Convert to fraction form
    232.96/321.52 = 134.78/x
  3. Step 3: Cross multiply
    232.96x = 321.52 × 134.78
  4. Step 4: Simplify right side
    232.96x = 43,334.47
  5. Step 5: Solve for x
    x = 43,334.47/232.96
  6. Step 6: Final answer
    x = 186.02

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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.