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Finding the Fourth Proportional to 182.60, 251.78 and 138.92

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Solution

The fourth proportional to 182.60, 251.78 and 138.92 is: 191.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.60 : 251.78 = 138.92 : x
  2. Step 2: Convert to fraction form
    182.60/251.78 = 138.92/x
  3. Step 3: Cross multiply
    182.60x = 251.78 × 138.92
  4. Step 4: Simplify right side
    182.60x = 34,977.28
  5. Step 5: Solve for x
    x = 34,977.28/182.60
  6. Step 6: Final answer
    x = 191.55

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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.