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Finding the Fourth Proportional to 306.28, 422.64 and 195.56

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Solution

The fourth proportional to 306.28, 422.64 and 195.56 is: 269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.28 : 422.64 = 195.56 : x
  2. Step 2: Convert to fraction form
    306.28/422.64 = 195.56/x
  3. Step 3: Cross multiply
    306.28x = 422.64 × 195.56
  4. Step 4: Simplify right side
    306.28x = 82,651.48
  5. Step 5: Solve for x
    x = 82,651.48/306.28
  6. Step 6: Final answer
    x = 269.86

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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.