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Finding the Fourth Proportional to 273.38, 409.26 and 200.75

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Solution

The fourth proportional to 273.38, 409.26 and 200.75 is: 300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.38 : 409.26 = 200.75 : x
  2. Step 2: Convert to fraction form
    273.38/409.26 = 200.75/x
  3. Step 3: Cross multiply
    273.38x = 409.26 × 200.75
  4. Step 4: Simplify right side
    273.38x = 82,158.95
  5. Step 5: Solve for x
    x = 82,158.95/273.38
  6. Step 6: Final answer
    x = 300.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.