Home / 232.20-320.49-170.24

Finding the Fourth Proportional to 232.20, 320.49 and 170.24

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Solution

The fourth proportional to 232.20, 320.49 and 170.24 is: 234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.20 : 320.49 = 170.24 : x
  2. Step 2: Convert to fraction form
    232.20/320.49 = 170.24/x
  3. Step 3: Cross multiply
    232.20x = 320.49 × 170.24
  4. Step 4: Simplify right side
    232.20x = 54,558.62
  5. Step 5: Solve for x
    x = 54,558.62/232.20
  6. Step 6: Final answer
    x = 234.96

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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.