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Finding the Fourth Proportional to 169.14, 252.61 and 138.36

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Solution

The fourth proportional to 169.14, 252.61 and 138.36 is: 206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.14 : 252.61 = 138.36 : x
  2. Step 2: Convert to fraction form
    169.14/252.61 = 138.36/x
  3. Step 3: Cross multiply
    169.14x = 252.61 × 138.36
  4. Step 4: Simplify right side
    169.14x = 34,949.86
  5. Step 5: Solve for x
    x = 34,949.86/169.14
  6. Step 6: Final answer
    x = 206.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.