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Finding the Fourth Proportional to 168.95, 252.45 and 161.66

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Solution

The fourth proportional to 168.95, 252.45 and 161.66 is: 241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.95 : 252.45 = 161.66 : x
  2. Step 2: Convert to fraction form
    168.95/252.45 = 161.66/x
  3. Step 3: Cross multiply
    168.95x = 252.45 × 161.66
  4. Step 4: Simplify right side
    168.95x = 40,811.70
  5. Step 5: Solve for x
    x = 40,811.70/168.95
  6. Step 6: Final answer
    x = 241.56

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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.