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Finding the Fourth Proportional to 183.38, 252.45 and 164.96

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Solution

The fourth proportional to 183.38, 252.45 and 164.96 is: 227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.38 : 252.45 = 164.96 : x
  2. Step 2: Convert to fraction form
    183.38/252.45 = 164.96/x
  3. Step 3: Cross multiply
    183.38x = 252.45 × 164.96
  4. Step 4: Simplify right side
    183.38x = 41,642.89
  5. Step 5: Solve for x
    x = 41,642.89/183.38
  6. Step 6: Final answer
    x = 227.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.