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Finding the Fourth Proportional to 306.38, 422.65 and 201.49

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Solution

The fourth proportional to 306.38, 422.65 and 201.49 is: 277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.38 : 422.65 = 201.49 : x
  2. Step 2: Convert to fraction form
    306.38/422.65 = 201.49/x
  3. Step 3: Cross multiply
    306.38x = 422.65 × 201.49
  4. Step 4: Simplify right side
    306.38x = 85,158.94
  5. Step 5: Solve for x
    x = 85,158.94/306.38
  6. Step 6: Final answer
    x = 277.95

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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.