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Finding the Fourth Proportional to 306.45, 422.73 and 194.24

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Solution

The fourth proportional to 306.45, 422.73 and 194.24 is: 267.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.45 : 422.73 = 194.24 : x
  2. Step 2: Convert to fraction form
    306.45/422.73 = 194.24/x
  3. Step 3: Cross multiply
    306.45x = 422.73 × 194.24
  4. Step 4: Simplify right side
    306.45x = 82,111.08
  5. Step 5: Solve for x
    x = 82,111.08/306.45
  6. Step 6: Final answer
    x = 267.94

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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.