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Finding the Fourth Proportional to 194.32, 267.96 and 182.71

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Solution

The fourth proportional to 194.32, 267.96 and 182.71 is: 251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.32 : 267.96 = 182.71 : x
  2. Step 2: Convert to fraction form
    194.32/267.96 = 182.71/x
  3. Step 3: Cross multiply
    194.32x = 267.96 × 182.71
  4. Step 4: Simplify right side
    194.32x = 48,958.97
  5. Step 5: Solve for x
    x = 48,958.97/194.32
  6. Step 6: Final answer
    x = 251.95

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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.