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Finding the Fourth Proportional to 169.49, 254.12 and 137.57

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Solution

The fourth proportional to 169.49, 254.12 and 137.57 is: 206.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.49 : 254.12 = 137.57 : x
  2. Step 2: Convert to fraction form
    169.49/254.12 = 137.57/x
  3. Step 3: Cross multiply
    169.49x = 254.12 × 137.57
  4. Step 4: Simplify right side
    169.49x = 34,958.60
  5. Step 5: Solve for x
    x = 34,958.60/169.49
  6. Step 6: Final answer
    x = 206.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.