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Finding the Fourth Proportional to 232.86, 321.21 and 159.24

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Solution

The fourth proportional to 232.86, 321.21 and 159.24 is: 219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.86 : 321.21 = 159.24 : x
  2. Step 2: Convert to fraction form
    232.86/321.21 = 159.24/x
  3. Step 3: Cross multiply
    232.86x = 321.21 × 159.24
  4. Step 4: Simplify right side
    232.86x = 51,149.48
  5. Step 5: Solve for x
    x = 51,149.48/232.86
  6. Step 6: Final answer
    x = 219.66

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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.