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Finding the Fourth Proportional to 267.87, 401.80 and 82.78

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Solution

The fourth proportional to 267.87, 401.80 and 82.78 is: 124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.87 : 401.80 = 82.78 : x
  2. Step 2: Convert to fraction form
    267.87/401.80 = 82.78/x
  3. Step 3: Cross multiply
    267.87x = 401.80 × 82.78
  4. Step 4: Simplify right side
    267.87x = 33,259.00
  5. Step 5: Solve for x
    x = 33,259.00/267.87
  6. Step 6: Final answer
    x = 124.16

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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.