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Finding the Fourth Proportional to 217.96, 299.97 and 200.48

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Solution

The fourth proportional to 217.96, 299.97 and 200.48 is: 275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.96 : 299.97 = 200.48 : x
  2. Step 2: Convert to fraction form
    217.96/299.97 = 200.48/x
  3. Step 3: Cross multiply
    217.96x = 299.97 × 200.48
  4. Step 4: Simplify right side
    217.96x = 60,137.99
  5. Step 5: Solve for x
    x = 60,137.99/217.96
  6. Step 6: Final answer
    x = 275.91

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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.