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Finding the Fourth Proportional to 217.84, 327.30 and 146.17

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Solution

The fourth proportional to 217.84, 327.30 and 146.17 is: 219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.84 : 327.30 = 146.17 : x
  2. Step 2: Convert to fraction form
    217.84/327.30 = 146.17/x
  3. Step 3: Cross multiply
    217.84x = 327.30 × 146.17
  4. Step 4: Simplify right side
    217.84x = 47,841.44
  5. Step 5: Solve for x
    x = 47,841.44/217.84
  6. Step 6: Final answer
    x = 219.62

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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.