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Finding the Fourth Proportional to 213.11, 293.85 and 200.55

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Solution

The fourth proportional to 213.11, 293.85 and 200.55 is: 276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.11 : 293.85 = 200.55 : x
  2. Step 2: Convert to fraction form
    213.11/293.85 = 200.55/x
  3. Step 3: Cross multiply
    213.11x = 293.85 × 200.55
  4. Step 4: Simplify right side
    213.11x = 58,931.62
  5. Step 5: Solve for x
    x = 58,931.62/213.11
  6. Step 6: Final answer
    x = 276.54

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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.