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Finding the Fourth Proportional to 185.11, 274.56 and 182.38

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Solution

The fourth proportional to 185.11, 274.56 and 182.38 is: 270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.11 : 274.56 = 182.38 : x
  2. Step 2: Convert to fraction form
    185.11/274.56 = 182.38/x
  3. Step 3: Cross multiply
    185.11x = 274.56 × 182.38
  4. Step 4: Simplify right side
    185.11x = 50,074.16
  5. Step 5: Solve for x
    x = 50,074.16/185.11
  6. Step 6: Final answer
    x = 270.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.