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Finding the Fourth Proportional to 273.40, 409.85 and 196.17

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Solution

The fourth proportional to 273.40, 409.85 and 196.17 is: 294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.40 : 409.85 = 196.17 : x
  2. Step 2: Convert to fraction form
    273.40/409.85 = 196.17/x
  3. Step 3: Cross multiply
    273.40x = 409.85 × 196.17
  4. Step 4: Simplify right side
    273.40x = 80,398.23
  5. Step 5: Solve for x
    x = 80,398.23/273.40
  6. Step 6: Final answer
    x = 294.07

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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.