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Finding the Fourth Proportional to 185.12, 255.52 and 164.60

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Solution

The fourth proportional to 185.12, 255.52 and 164.60 is: 227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.12 : 255.52 = 164.60 : x
  2. Step 2: Convert to fraction form
    185.12/255.52 = 164.60/x
  3. Step 3: Cross multiply
    185.12x = 255.52 × 164.60
  4. Step 4: Simplify right side
    185.12x = 42,058.59
  5. Step 5: Solve for x
    x = 42,058.59/185.12
  6. Step 6: Final answer
    x = 227.20

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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.