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Finding the Fourth Proportional to 217.62, 299.70 and 180.90

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Solution

The fourth proportional to 217.62, 299.70 and 180.90 is: 249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.62 : 299.70 = 180.90 : x
  2. Step 2: Convert to fraction form
    217.62/299.70 = 180.90/x
  3. Step 3: Cross multiply
    217.62x = 299.70 × 180.90
  4. Step 4: Simplify right side
    217.62x = 54,215.73
  5. Step 5: Solve for x
    x = 54,215.73/217.62
  6. Step 6: Final answer
    x = 249.13

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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.