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Finding the Fourth Proportional to 217.94, 300.41 and 165.27

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Solution

The fourth proportional to 217.94, 300.41 and 165.27 is: 227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.94 : 300.41 = 165.27 : x
  2. Step 2: Convert to fraction form
    217.94/300.41 = 165.27/x
  3. Step 3: Cross multiply
    217.94x = 300.41 × 165.27
  4. Step 4: Simplify right side
    217.94x = 49,648.76
  5. Step 5: Solve for x
    x = 49,648.76/217.94
  6. Step 6: Final answer
    x = 227.81

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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.