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Finding the Fourth Proportional to 267.27, 401.25 and 215.24

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Solution

The fourth proportional to 267.27, 401.25 and 215.24 is: 323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.27 : 401.25 = 215.24 : x
  2. Step 2: Convert to fraction form
    267.27/401.25 = 215.24/x
  3. Step 3: Cross multiply
    267.27x = 401.25 × 215.24
  4. Step 4: Simplify right side
    267.27x = 86,363.97
  5. Step 5: Solve for x
    x = 86,363.97/267.27
  6. Step 6: Final answer
    x = 323.14

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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.