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Finding the Fourth Proportional to 306, 422.28 and 194.04

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Solution

The fourth proportional to 306, 422.28 and 194.04 is: 267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306 : 422.28 = 194.04 : x
  2. Step 2: Convert to fraction form
    306/422.28 = 194.04/x
  3. Step 3: Cross multiply
    306x = 422.28 × 194.04
  4. Step 4: Simplify right side
    306x = 81,939.21
  5. Step 5: Solve for x
    x = 81,939.21/306
  6. Step 6: Final answer
    x = 267.78

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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.