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Finding the Fourth Proportional to 232.94, 321.33 and 149.96

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Solution

The fourth proportional to 232.94, 321.33 and 149.96 is: 206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.94 : 321.33 = 149.96 : x
  2. Step 2: Convert to fraction form
    232.94/321.33 = 149.96/x
  3. Step 3: Cross multiply
    232.94x = 321.33 × 149.96
  4. Step 4: Simplify right side
    232.94x = 48,185.04
  5. Step 5: Solve for x
    x = 48,185.04/232.94
  6. Step 6: Final answer
    x = 206.86

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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.