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Finding the Fourth Proportional to 213.27, 292.56 and 200.85

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Solution

The fourth proportional to 213.27, 292.56 and 200.85 is: 275.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.27 : 292.56 = 200.85 : x
  2. Step 2: Convert to fraction form
    213.27/292.56 = 200.85/x
  3. Step 3: Cross multiply
    213.27x = 292.56 × 200.85
  4. Step 4: Simplify right side
    213.27x = 58,760.68
  5. Step 5: Solve for x
    x = 58,760.68/213.27
  6. Step 6: Final answer
    x = 275.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.