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Finding the Fourth Proportional to 267.76, 369.39 and 184.74

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Solution

The fourth proportional to 267.76, 369.39 and 184.74 is: 254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.76 : 369.39 = 184.74 : x
  2. Step 2: Convert to fraction form
    267.76/369.39 = 184.74/x
  3. Step 3: Cross multiply
    267.76x = 369.39 × 184.74
  4. Step 4: Simplify right side
    267.76x = 68,241.11
  5. Step 5: Solve for x
    x = 68,241.11/267.76
  6. Step 6: Final answer
    x = 254.86

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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.