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Finding the Fourth Proportional to 169.28, 231.94 and 168.80

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Solution

The fourth proportional to 169.28, 231.94 and 168.80 is: 231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.28 : 231.94 = 168.80 : x
  2. Step 2: Convert to fraction form
    169.28/231.94 = 168.80/x
  3. Step 3: Cross multiply
    169.28x = 231.94 × 168.80
  4. Step 4: Simplify right side
    169.28x = 39,151.47
  5. Step 5: Solve for x
    x = 39,151.47/169.28
  6. Step 6: Final answer
    x = 231.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.