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Finding the Fourth Proportional to 267.06, 400.75 and 122.78

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Solution

The fourth proportional to 267.06, 400.75 and 122.78 is: 184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.06 : 400.75 = 122.78 : x
  2. Step 2: Convert to fraction form
    267.06/400.75 = 122.78/x
  3. Step 3: Cross multiply
    267.06x = 400.75 × 122.78
  4. Step 4: Simplify right side
    267.06x = 49,204.09
  5. Step 5: Solve for x
    x = 49,204.09/267.06
  6. Step 6: Final answer
    x = 184.24

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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.