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Finding the Fourth Proportional to 217.20, 299.28 and 180.48

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Solution

The fourth proportional to 217.20, 299.28 and 180.48 is: 248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.20 : 299.28 = 180.48 : x
  2. Step 2: Convert to fraction form
    217.20/299.28 = 180.48/x
  3. Step 3: Cross multiply
    217.20x = 299.28 × 180.48
  4. Step 4: Simplify right side
    217.20x = 54,014.05
  5. Step 5: Solve for x
    x = 54,014.05/217.20
  6. Step 6: Final answer
    x = 248.68

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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.