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Finding the Fourth Proportional to 306.82, 423.26 and 196.26

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Solution

The fourth proportional to 306.82, 423.26 and 196.26 is: 270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.82 : 423.26 = 196.26 : x
  2. Step 2: Convert to fraction form
    306.82/423.26 = 196.26/x
  3. Step 3: Cross multiply
    306.82x = 423.26 × 196.26
  4. Step 4: Simplify right side
    306.82x = 83,067.18
  5. Step 5: Solve for x
    x = 83,067.18/306.82
  6. Step 6: Final answer
    x = 270.73

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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.