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Finding the Fourth Proportional to 267.46, 401.04 and 137.44

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Solution

The fourth proportional to 267.46, 401.04 and 137.44 is: 206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.46 : 401.04 = 137.44 : x
  2. Step 2: Convert to fraction form
    267.46/401.04 = 137.44/x
  3. Step 3: Cross multiply
    267.46x = 401.04 × 137.44
  4. Step 4: Simplify right side
    267.46x = 55,118.94
  5. Step 5: Solve for x
    x = 55,118.94/267.46
  6. Step 6: Final answer
    x = 206.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.