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Finding the Fourth Proportional to 273.28, 377.72 and 200.12

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Solution

The fourth proportional to 273.28, 377.72 and 200.12 is: 276.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.28 : 377.72 = 200.12 : x
  2. Step 2: Convert to fraction form
    273.28/377.72 = 200.12/x
  3. Step 3: Cross multiply
    273.28x = 377.72 × 200.12
  4. Step 4: Simplify right side
    273.28x = 75,589.33
  5. Step 5: Solve for x
    x = 75,589.33/273.28
  6. Step 6: Final answer
    x = 276.60

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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.