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Finding the Fourth Proportional to 183.69, 252.09 and 182.61

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Solution

The fourth proportional to 183.69, 252.09 and 182.61 is: 250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.69 : 252.09 = 182.61 : x
  2. Step 2: Convert to fraction form
    183.69/252.09 = 182.61/x
  3. Step 3: Cross multiply
    183.69x = 252.09 × 182.61
  4. Step 4: Simplify right side
    183.69x = 46,034.15
  5. Step 5: Solve for x
    x = 46,034.15/183.69
  6. Step 6: Final answer
    x = 250.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.