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Finding the Fourth Proportional to 169.75, 234.33 and 138.99

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Solution

The fourth proportional to 169.75, 234.33 and 138.99 is: 191.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.75 : 234.33 = 138.99 : x
  2. Step 2: Convert to fraction form
    169.75/234.33 = 138.99/x
  3. Step 3: Cross multiply
    169.75x = 234.33 × 138.99
  4. Step 4: Simplify right side
    169.75x = 32,570.67
  5. Step 5: Solve for x
    x = 32,570.67/169.75
  6. Step 6: Final answer
    x = 191.88

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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.