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Finding the Fourth Proportional to 232.84, 321.46 and 159.26

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Solution

The fourth proportional to 232.84, 321.46 and 159.26 is: 219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.84 : 321.46 = 159.26 : x
  2. Step 2: Convert to fraction form
    232.84/321.46 = 159.26/x
  3. Step 3: Cross multiply
    232.84x = 321.46 × 159.26
  4. Step 4: Simplify right side
    232.84x = 51,195.72
  5. Step 5: Solve for x
    x = 51,195.72/232.84
  6. Step 6: Final answer
    x = 219.88

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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.