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Finding the Fourth Proportional to 306.41, 422.94 and 196.18

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Solution

The fourth proportional to 306.41, 422.94 and 196.18 is: 270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.41 : 422.94 = 196.18 : x
  2. Step 2: Convert to fraction form
    306.41/422.94 = 196.18/x
  3. Step 3: Cross multiply
    306.41x = 422.94 × 196.18
  4. Step 4: Simplify right side
    306.41x = 82,970.82
  5. Step 5: Solve for x
    x = 82,970.82/306.41
  6. Step 6: Final answer
    x = 270.79

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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.