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Finding the Fourth Proportional to 267.35, 369.45 and 201.74

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Solution

The fourth proportional to 267.35, 369.45 and 201.74 is: 278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.35 : 369.45 = 201.74 : x
  2. Step 2: Convert to fraction form
    267.35/369.45 = 201.74/x
  3. Step 3: Cross multiply
    267.35x = 369.45 × 201.74
  4. Step 4: Simplify right side
    267.35x = 74,532.84
  5. Step 5: Solve for x
    x = 74,532.84/267.35
  6. Step 6: Final answer
    x = 278.78

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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.