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Finding the Fourth Proportional to 185.44, 276.56 and 182.02

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Solution

The fourth proportional to 185.44, 276.56 and 182.02 is: 271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.44 : 276.56 = 182.02 : x
  2. Step 2: Convert to fraction form
    185.44/276.56 = 182.02/x
  3. Step 3: Cross multiply
    185.44x = 276.56 × 182.02
  4. Step 4: Simplify right side
    185.44x = 50,340.85
  5. Step 5: Solve for x
    x = 50,340.85/185.44
  6. Step 6: Final answer
    x = 271.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.