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Finding the Fourth Proportional to 232.59, 320.96 and 138.09

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Solution

The fourth proportional to 232.59, 320.96 and 138.09 is: 190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.59 : 320.96 = 138.09 : x
  2. Step 2: Convert to fraction form
    232.59/320.96 = 138.09/x
  3. Step 3: Cross multiply
    232.59x = 320.96 × 138.09
  4. Step 4: Simplify right side
    232.59x = 44,320.68
  5. Step 5: Solve for x
    x = 44,320.68/232.59
  6. Step 6: Final answer
    x = 190.55

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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.