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Finding the Fourth Proportional to 183.87, 255.11 and 182.30

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Solution

The fourth proportional to 183.87, 255.11 and 182.30 is: 252.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.87 : 255.11 = 182.30 : x
  2. Step 2: Convert to fraction form
    183.87/255.11 = 182.30/x
  3. Step 3: Cross multiply
    183.87x = 255.11 × 182.30
  4. Step 4: Simplify right side
    183.87x = 46,505.28
  5. Step 5: Solve for x
    x = 46,505.28/183.87
  6. Step 6: Final answer
    x = 252.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.