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Finding the Fourth Proportional to 273.40, 409.81 and 199.09

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Solution

The fourth proportional to 273.40, 409.81 and 199.09 is: 298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.40 : 409.81 = 199.09 : x
  2. Step 2: Convert to fraction form
    273.40/409.81 = 199.09/x
  3. Step 3: Cross multiply
    273.40x = 409.81 × 199.09
  4. Step 4: Simplify right side
    273.40x = 81,589.60
  5. Step 5: Solve for x
    x = 81,589.60/273.40
  6. Step 6: Final answer
    x = 298.43

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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.