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Finding the Fourth Proportional to 273.40, 409.38 and 196.27

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Solution

The fourth proportional to 273.40, 409.38 and 196.27 is: 293.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.40 : 409.38 = 196.27 : x
  2. Step 2: Convert to fraction form
    273.40/409.38 = 196.27/x
  3. Step 3: Cross multiply
    273.40x = 409.38 × 196.27
  4. Step 4: Simplify right side
    273.40x = 80,349.01
  5. Step 5: Solve for x
    x = 80,349.01/273.40
  6. Step 6: Final answer
    x = 293.89

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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.