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Finding the Fourth Proportional to 217.99, 326.99 and 96.19

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Solution

The fourth proportional to 217.99, 326.99 and 96.19 is: 144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.99 : 326.99 = 96.19 : x
  2. Step 2: Convert to fraction form
    217.99/326.99 = 96.19/x
  3. Step 3: Cross multiply
    217.99x = 326.99 × 96.19
  4. Step 4: Simplify right side
    217.99x = 31,453.17
  5. Step 5: Solve for x
    x = 31,453.17/217.99
  6. Step 6: Final answer
    x = 144.29

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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.