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Finding the Fourth Proportional to 250.38, 344.73 and 217.62

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Solution

The fourth proportional to 250.38, 344.73 and 217.62 is: 299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.38 : 344.73 = 217.62 : x
  2. Step 2: Convert to fraction form
    250.38/344.73 = 217.62/x
  3. Step 3: Cross multiply
    250.38x = 344.73 × 217.62
  4. Step 4: Simplify right side
    250.38x = 75,020.14
  5. Step 5: Solve for x
    x = 75,020.14/250.38
  6. Step 6: Final answer
    x = 299.63

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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.