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Finding the Fourth Proportional to 306.05, 422.21 and 201.10

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Solution

The fourth proportional to 306.05, 422.21 and 201.10 is: 277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.05 : 422.21 = 201.10 : x
  2. Step 2: Convert to fraction form
    306.05/422.21 = 201.10/x
  3. Step 3: Cross multiply
    306.05x = 422.21 × 201.10
  4. Step 4: Simplify right side
    306.05x = 84,906.43
  5. Step 5: Solve for x
    x = 84,906.43/306.05
  6. Step 6: Final answer
    x = 277.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.