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Finding the Fourth Proportional to 312.20, 431.22 and 196.04

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Solution

The fourth proportional to 312.20, 431.22 and 196.04 is: 270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.20 : 431.22 = 196.04 : x
  2. Step 2: Convert to fraction form
    312.20/431.22 = 196.04/x
  3. Step 3: Cross multiply
    312.20x = 431.22 × 196.04
  4. Step 4: Simplify right side
    312.20x = 84,536.37
  5. Step 5: Solve for x
    x = 84,536.37/312.20
  6. Step 6: Final answer
    x = 270.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.