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Finding the Fourth Proportional to 185.92, 255.26 and 164.20

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Solution

The fourth proportional to 185.92, 255.26 and 164.20 is: 225.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.92 : 255.26 = 164.20 : x
  2. Step 2: Convert to fraction form
    185.92/255.26 = 164.20/x
  3. Step 3: Cross multiply
    185.92x = 255.26 × 164.20
  4. Step 4: Simplify right side
    185.92x = 41,913.69
  5. Step 5: Solve for x
    x = 41,913.69/185.92
  6. Step 6: Final answer
    x = 225.44

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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.