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Finding the Fourth Proportional to 217.27, 300.27 and 173.53

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Solution

The fourth proportional to 217.27, 300.27 and 173.53 is: 239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.27 : 300.27 = 173.53 : x
  2. Step 2: Convert to fraction form
    217.27/300.27 = 173.53/x
  3. Step 3: Cross multiply
    217.27x = 300.27 × 173.53
  4. Step 4: Simplify right side
    217.27x = 52,105.85
  5. Step 5: Solve for x
    x = 52,105.85/217.27
  6. Step 6: Final answer
    x = 239.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.