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Finding the Fourth Proportional to 267.78, 369.39 and 169.50

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Solution

The fourth proportional to 267.78, 369.39 and 169.50 is: 233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.78 : 369.39 = 169.50 : x
  2. Step 2: Convert to fraction form
    267.78/369.39 = 169.50/x
  3. Step 3: Cross multiply
    267.78x = 369.39 × 169.50
  4. Step 4: Simplify right side
    267.78x = 62,611.61
  5. Step 5: Solve for x
    x = 62,611.61/267.78
  6. Step 6: Final answer
    x = 233.82

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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.