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Finding the Fourth Proportional to 183.51, 252.09 and 165.96

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Solution

The fourth proportional to 183.51, 252.09 and 165.96 is: 227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.51 : 252.09 = 165.96 : x
  2. Step 2: Convert to fraction form
    183.51/252.09 = 165.96/x
  3. Step 3: Cross multiply
    183.51x = 252.09 × 165.96
  4. Step 4: Simplify right side
    183.51x = 41,836.86
  5. Step 5: Solve for x
    x = 41,836.86/183.51
  6. Step 6: Final answer
    x = 227.98

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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.