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Finding the Fourth Proportional to 183.81, 252.06 and 165.33

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Solution

The fourth proportional to 183.81, 252.06 and 165.33 is: 226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.81 : 252.06 = 165.33 : x
  2. Step 2: Convert to fraction form
    183.81/252.06 = 165.33/x
  3. Step 3: Cross multiply
    183.81x = 252.06 × 165.33
  4. Step 4: Simplify right side
    183.81x = 41,672.25
  5. Step 5: Solve for x
    x = 41,672.25/183.81
  6. Step 6: Final answer
    x = 226.71

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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.