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Finding the Fourth Proportional to 267.46, 401.16 and 82.38

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Solution

The fourth proportional to 267.46, 401.16 and 82.38 is: 123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.46 : 401.16 = 82.38 : x
  2. Step 2: Convert to fraction form
    267.46/401.16 = 82.38/x
  3. Step 3: Cross multiply
    267.46x = 401.16 × 82.38
  4. Step 4: Simplify right side
    267.46x = 33,047.56
  5. Step 5: Solve for x
    x = 33,047.56/267.46
  6. Step 6: Final answer
    x = 123.56

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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.