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Finding the Fourth Proportional to 306.23, 422.46 and 194.15

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Solution

The fourth proportional to 306.23, 422.46 and 194.15 is: 267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.23 : 422.46 = 194.15 : x
  2. Step 2: Convert to fraction form
    306.23/422.46 = 194.15/x
  3. Step 3: Cross multiply
    306.23x = 422.46 × 194.15
  4. Step 4: Simplify right side
    306.23x = 82,020.61
  5. Step 5: Solve for x
    x = 82,020.61/306.23
  6. Step 6: Final answer
    x = 267.84

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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.