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Finding the Fourth Proportional to 267.94, 369.99 and 180.86

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Solution

The fourth proportional to 267.94, 369.99 and 180.86 is: 249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.94 : 369.99 = 180.86 : x
  2. Step 2: Convert to fraction form
    267.94/369.99 = 180.86/x
  3. Step 3: Cross multiply
    267.94x = 369.99 × 180.86
  4. Step 4: Simplify right side
    267.94x = 66,915.49
  5. Step 5: Solve for x
    x = 66,915.49/267.94
  6. Step 6: Final answer
    x = 249.75

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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.