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Finding the Fourth Proportional to 217.41, 326.12 and 71.18

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Solution

The fourth proportional to 217.41, 326.12 and 71.18 is: 106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.41 : 326.12 = 71.18 : x
  2. Step 2: Convert to fraction form
    217.41/326.12 = 71.18/x
  3. Step 3: Cross multiply
    217.41x = 326.12 × 71.18
  4. Step 4: Simplify right side
    217.41x = 23,211.24
  5. Step 5: Solve for x
    x = 23,211.24/217.41
  6. Step 6: Final answer
    x = 106.76

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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.