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Finding the Fourth Proportional to 232.06, 320.24 and 138.75

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Solution

The fourth proportional to 232.06, 320.24 and 138.75 is: 191.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.06 : 320.24 = 138.75 : x
  2. Step 2: Convert to fraction form
    232.06/320.24 = 138.75/x
  3. Step 3: Cross multiply
    232.06x = 320.24 × 138.75
  4. Step 4: Simplify right side
    232.06x = 44,433.90
  5. Step 5: Solve for x
    x = 44,433.90/232.06
  6. Step 6: Final answer
    x = 191.47

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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.