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Finding the Fourth Proportional to 232.05, 320.13 and 149.21

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Solution

The fourth proportional to 232.05, 320.13 and 149.21 is: 205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.05 : 320.13 = 149.21 : x
  2. Step 2: Convert to fraction form
    232.05/320.13 = 149.21/x
  3. Step 3: Cross multiply
    232.05x = 320.13 × 149.21
  4. Step 4: Simplify right side
    232.05x = 47,765.00
  5. Step 5: Solve for x
    x = 47,765.00/232.05
  6. Step 6: Final answer
    x = 205.84

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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.