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Finding the Fourth Proportional to 217.84, 326.91 and 96.04

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Solution

The fourth proportional to 217.84, 326.91 and 96.04 is: 144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.84 : 326.91 = 96.04 : x
  2. Step 2: Convert to fraction form
    217.84/326.91 = 96.04/x
  3. Step 3: Cross multiply
    217.84x = 326.91 × 96.04
  4. Step 4: Simplify right side
    217.84x = 31,396.44
  5. Step 5: Solve for x
    x = 31,396.44/217.84
  6. Step 6: Final answer
    x = 144.13

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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.