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Finding the Fourth Proportional to 267.10, 369.11 and 201.49

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Solution

The fourth proportional to 267.10, 369.11 and 201.49 is: 278.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.10 : 369.11 = 201.49 : x
  2. Step 2: Convert to fraction form
    267.10/369.11 = 201.49/x
  3. Step 3: Cross multiply
    267.10x = 369.11 × 201.49
  4. Step 4: Simplify right side
    267.10x = 74,371.97
  5. Step 5: Solve for x
    x = 74,371.97/267.10
  6. Step 6: Final answer
    x = 278.44

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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.