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Finding the Fourth Proportional to 267.63, 401.46 and 82.55

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Solution

The fourth proportional to 267.63, 401.46 and 82.55 is: 123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.63 : 401.46 = 82.55 : x
  2. Step 2: Convert to fraction form
    267.63/401.46 = 82.55/x
  3. Step 3: Cross multiply
    267.63x = 401.46 × 82.55
  4. Step 4: Simplify right side
    267.63x = 33,138.52
  5. Step 5: Solve for x
    x = 33,138.52/267.63
  6. Step 6: Final answer
    x = 123.82

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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.