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Finding the Fourth Proportional to 169.52, 252.88 and 161.60

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Solution

The fourth proportional to 169.52, 252.88 and 161.60 is: 241.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.52 : 252.88 = 161.60 : x
  2. Step 2: Convert to fraction form
    169.52/252.88 = 161.60/x
  3. Step 3: Cross multiply
    169.52x = 252.88 × 161.60
  4. Step 4: Simplify right side
    169.52x = 40,865.41
  5. Step 5: Solve for x
    x = 40,865.41/169.52
  6. Step 6: Final answer
    x = 241.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.