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Finding the Fourth Proportional to 182.09, 251.49 and 164.60

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Solution

The fourth proportional to 182.09, 251.49 and 164.60 is: 227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.09 : 251.49 = 164.60 : x
  2. Step 2: Convert to fraction form
    182.09/251.49 = 164.60/x
  3. Step 3: Cross multiply
    182.09x = 251.49 × 164.60
  4. Step 4: Simplify right side
    182.09x = 41,394.00
  5. Step 5: Solve for x
    x = 41,394.00/182.09
  6. Step 6: Final answer
    x = 227.33

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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.