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Finding the Fourth Proportional to 267.68, 369.34 and 184.65

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Solution

The fourth proportional to 267.68, 369.34 and 184.65 is: 254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.68 : 369.34 = 184.65 : x
  2. Step 2: Convert to fraction form
    267.68/369.34 = 184.65/x
  3. Step 3: Cross multiply
    267.68x = 369.34 × 184.65
  4. Step 4: Simplify right side
    267.68x = 68,198.17
  5. Step 5: Solve for x
    x = 68,198.17/267.68
  6. Step 6: Final answer
    x = 254.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.