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Finding the Fourth Proportional to 232.78, 321.16 and 138.23

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Solution

The fourth proportional to 232.78, 321.16 and 138.23 is: 190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.78 : 321.16 = 138.23 : x
  2. Step 2: Convert to fraction form
    232.78/321.16 = 138.23/x
  3. Step 3: Cross multiply
    232.78x = 321.16 × 138.23
  4. Step 4: Simplify right side
    232.78x = 44,394.66
  5. Step 5: Solve for x
    x = 44,394.66/232.78
  6. Step 6: Final answer
    x = 190.71

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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.