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Finding the Fourth Proportional to 232.14, 320.34 and 138.84

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Solution

The fourth proportional to 232.14, 320.34 and 138.84 is: 191.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.14 : 320.34 = 138.84 : x
  2. Step 2: Convert to fraction form
    232.14/320.34 = 138.84/x
  3. Step 3: Cross multiply
    232.14x = 320.34 × 138.84
  4. Step 4: Simplify right side
    232.14x = 44,476.01
  5. Step 5: Solve for x
    x = 44,476.01/232.14
  6. Step 6: Final answer
    x = 191.59

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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.