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Finding the Fourth Proportional to 168.44, 251.38 and 164.12

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Solution

The fourth proportional to 168.44, 251.38 and 164.12 is: 244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.44 : 251.38 = 164.12 : x
  2. Step 2: Convert to fraction form
    168.44/251.38 = 164.12/x
  3. Step 3: Cross multiply
    168.44x = 251.38 × 164.12
  4. Step 4: Simplify right side
    168.44x = 41,256.49
  5. Step 5: Solve for x
    x = 41,256.49/168.44
  6. Step 6: Final answer
    x = 244.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.