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Finding the Fourth Proportional to 267.57, 401.11 and 94.21

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Solution

The fourth proportional to 267.57, 401.11 and 94.21 is: 141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.57 : 401.11 = 94.21 : x
  2. Step 2: Convert to fraction form
    267.57/401.11 = 94.21/x
  3. Step 3: Cross multiply
    267.57x = 401.11 × 94.21
  4. Step 4: Simplify right side
    267.57x = 37,788.57
  5. Step 5: Solve for x
    x = 37,788.57/267.57
  6. Step 6: Final answer
    x = 141.23

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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.