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Finding the Fourth Proportional to 169.49, 254.14 and 166.25

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Solution

The fourth proportional to 169.49, 254.14 and 166.25 is: 249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.49 : 254.14 = 166.25 : x
  2. Step 2: Convert to fraction form
    169.49/254.14 = 166.25/x
  3. Step 3: Cross multiply
    169.49x = 254.14 × 166.25
  4. Step 4: Simplify right side
    169.49x = 42,250.99
  5. Step 5: Solve for x
    x = 42,250.99/169.49
  6. Step 6: Final answer
    x = 249.28

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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.