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Finding the Fourth Proportional to 273.17, 408.93 and 199.76

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Solution

The fourth proportional to 273.17, 408.93 and 199.76 is: 299.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.17 : 408.93 = 199.76 : x
  2. Step 2: Convert to fraction form
    273.17/408.93 = 199.76/x
  3. Step 3: Cross multiply
    273.17x = 408.93 × 199.76
  4. Step 4: Simplify right side
    273.17x = 81,687.86
  5. Step 5: Solve for x
    x = 81,687.86/273.17
  6. Step 6: Final answer
    x = 299.04

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Why These Related Problems?

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