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Finding the Fourth Proportional to 267.69, 369.26 and 184.83

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Solution

The fourth proportional to 267.69, 369.26 and 184.83 is: 254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.69 : 369.26 = 184.83 : x
  2. Step 2: Convert to fraction form
    267.69/369.26 = 184.83/x
  3. Step 3: Cross multiply
    267.69x = 369.26 × 184.83
  4. Step 4: Simplify right side
    267.69x = 68,250.33
  5. Step 5: Solve for x
    x = 68,250.33/267.69
  6. Step 6: Final answer
    x = 254.96

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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.