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Finding the Fourth Proportional to 232.03, 320.20 and 138.74

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Solution

The fourth proportional to 232.03, 320.20 and 138.74 is: 191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.03 : 320.20 = 138.74 : x
  2. Step 2: Convert to fraction form
    232.03/320.20 = 138.74/x
  3. Step 3: Cross multiply
    232.03x = 320.20 × 138.74
  4. Step 4: Simplify right side
    232.03x = 44,424.55
  5. Step 5: Solve for x
    x = 44,424.55/232.03
  6. Step 6: Final answer
    x = 191.46

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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.