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Finding the Fourth Proportional to 185.28, 254.32 and 164.09

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Solution

The fourth proportional to 185.28, 254.32 and 164.09 is: 225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.28 : 254.32 = 164.09 : x
  2. Step 2: Convert to fraction form
    185.28/254.32 = 164.09/x
  3. Step 3: Cross multiply
    185.28x = 254.32 × 164.09
  4. Step 4: Simplify right side
    185.28x = 41,731.37
  5. Step 5: Solve for x
    x = 41,731.37/185.28
  6. Step 6: Final answer
    x = 225.23

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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.