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Finding the Fourth Proportional to 169.56, 254.66 and 161.97

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Solution

The fourth proportional to 169.56, 254.66 and 161.97 is: 243.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.56 : 254.66 = 161.97 : x
  2. Step 2: Convert to fraction form
    169.56/254.66 = 161.97/x
  3. Step 3: Cross multiply
    169.56x = 254.66 × 161.97
  4. Step 4: Simplify right side
    169.56x = 41,246.47
  5. Step 5: Solve for x
    x = 41,246.47/169.56
  6. Step 6: Final answer
    x = 243.26

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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.