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Finding the Fourth Proportional to 169.20, 254.08 and 111.60

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Solution

The fourth proportional to 169.20, 254.08 and 111.60 is: 167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.20 : 254.08 = 111.60 : x
  2. Step 2: Convert to fraction form
    169.20/254.08 = 111.60/x
  3. Step 3: Cross multiply
    169.20x = 254.08 × 111.60
  4. Step 4: Simplify right side
    169.20x = 28,355.33
  5. Step 5: Solve for x
    x = 28,355.33/169.20
  6. Step 6: Final answer
    x = 167.58

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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.