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Finding the Fourth Proportional to 306.33, 422.62 and 201.39

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Solution

The fourth proportional to 306.33, 422.62 and 201.39 is: 277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.33 : 422.62 = 201.39 : x
  2. Step 2: Convert to fraction form
    306.33/422.62 = 201.39/x
  3. Step 3: Cross multiply
    306.33x = 422.62 × 201.39
  4. Step 4: Simplify right side
    306.33x = 85,109.35
  5. Step 5: Solve for x
    x = 85,109.35/306.33
  6. Step 6: Final answer
    x = 277.83

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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.