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Finding the Fourth Proportional to 217.87, 299.68 and 180.27

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Solution

The fourth proportional to 217.87, 299.68 and 180.27 is: 247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.87 : 299.68 = 180.27 : x
  2. Step 2: Convert to fraction form
    217.87/299.68 = 180.27/x
  3. Step 3: Cross multiply
    217.87x = 299.68 × 180.27
  4. Step 4: Simplify right side
    217.87x = 54,022.86
  5. Step 5: Solve for x
    x = 54,022.86/217.87
  6. Step 6: Final answer
    x = 247.96

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Why These Related Problems?

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