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Finding the Fourth Proportional to 169.52, 255.49 and 160.10

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Solution

The fourth proportional to 169.52, 255.49 and 160.10 is: 241.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.52 : 255.49 = 160.10 : x
  2. Step 2: Convert to fraction form
    169.52/255.49 = 160.10/x
  3. Step 3: Cross multiply
    169.52x = 255.49 × 160.10
  4. Step 4: Simplify right side
    169.52x = 40,903.95
  5. Step 5: Solve for x
    x = 40,903.95/169.52
  6. Step 6: Final answer
    x = 241.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.