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Finding the Fourth Proportional to 267.54, 401.23 and 102.97

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Solution

The fourth proportional to 267.54, 401.23 and 102.97 is: 154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.54 : 401.23 = 102.97 : x
  2. Step 2: Convert to fraction form
    267.54/401.23 = 102.97/x
  3. Step 3: Cross multiply
    267.54x = 401.23 × 102.97
  4. Step 4: Simplify right side
    267.54x = 41,314.65
  5. Step 5: Solve for x
    x = 41,314.65/267.54
  6. Step 6: Final answer
    x = 154.42

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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.