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Finding the Fourth Proportional to 273.96, 377.88 and 200.34

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Solution

The fourth proportional to 273.96, 377.88 and 200.34 is: 276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.96 : 377.88 = 200.34 : x
  2. Step 2: Convert to fraction form
    273.96/377.88 = 200.34/x
  3. Step 3: Cross multiply
    273.96x = 377.88 × 200.34
  4. Step 4: Simplify right side
    273.96x = 75,704.48
  5. Step 5: Solve for x
    x = 75,704.48/273.96
  6. Step 6: Final answer
    x = 276.33

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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.