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Finding the Fourth Proportional to 267.47, 400.97 and 94.11

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Solution

The fourth proportional to 267.47, 400.97 and 94.11 is: 141.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.47 : 400.97 = 94.11 : x
  2. Step 2: Convert to fraction form
    267.47/400.97 = 94.11/x
  3. Step 3: Cross multiply
    267.47x = 400.97 × 94.11
  4. Step 4: Simplify right side
    267.47x = 37,735.29
  5. Step 5: Solve for x
    x = 37,735.29/267.47
  6. Step 6: Final answer
    x = 141.08

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Why These Related Problems?

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