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Finding the Fourth Proportional to 267.08, 400.50 and 122.78

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Solution

The fourth proportional to 267.08, 400.50 and 122.78 is: 184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.08 : 400.50 = 122.78 : x
  2. Step 2: Convert to fraction form
    267.08/400.50 = 122.78/x
  3. Step 3: Cross multiply
    267.08x = 400.50 × 122.78
  4. Step 4: Simplify right side
    267.08x = 49,173.39
  5. Step 5: Solve for x
    x = 49,173.39/267.08
  6. Step 6: Final answer
    x = 184.11

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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.