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Finding the Fourth Proportional to 169.75, 255.05 and 160.44

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Solution

The fourth proportional to 169.75, 255.05 and 160.44 is: 241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.75 : 255.05 = 160.44 : x
  2. Step 2: Convert to fraction form
    169.75/255.05 = 160.44/x
  3. Step 3: Cross multiply
    169.75x = 255.05 × 160.44
  4. Step 4: Simplify right side
    169.75x = 40,920.22
  5. Step 5: Solve for x
    x = 40,920.22/169.75
  6. Step 6: Final answer
    x = 241.06

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