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Finding the Fourth Proportional to 267.96, 369.90 and 180.69

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Solution

The fourth proportional to 267.96, 369.90 and 180.69 is: 249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.96 : 369.90 = 180.69 : x
  2. Step 2: Convert to fraction form
    267.96/369.90 = 180.69/x
  3. Step 3: Cross multiply
    267.96x = 369.90 × 180.69
  4. Step 4: Simplify right side
    267.96x = 66,837.23
  5. Step 5: Solve for x
    x = 66,837.23/267.96
  6. Step 6: Final answer
    x = 249.43

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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.