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Finding the Fourth Proportional to 217.60, 326.49 and 149.26

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Solution

The fourth proportional to 217.60, 326.49 and 149.26 is: 223.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.60 : 326.49 = 149.26 : x
  2. Step 2: Convert to fraction form
    217.60/326.49 = 149.26/x
  3. Step 3: Cross multiply
    217.60x = 326.49 × 149.26
  4. Step 4: Simplify right side
    217.60x = 48,731.90
  5. Step 5: Solve for x
    x = 48,731.90/217.60
  6. Step 6: Final answer
    x = 223.95

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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.