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Finding the Fourth Proportional to 271.96, 408.45 and 169.43

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Solution

The fourth proportional to 271.96, 408.45 and 169.43 is: 254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.96 : 408.45 = 169.43 : x
  2. Step 2: Convert to fraction form
    271.96/408.45 = 169.43/x
  3. Step 3: Cross multiply
    271.96x = 408.45 × 169.43
  4. Step 4: Simplify right side
    271.96x = 69,203.68
  5. Step 5: Solve for x
    x = 69,203.68/271.96
  6. Step 6: Final answer
    x = 254.46

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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.