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Finding the Fourth Proportional to 168.11, 232.00 and 119.00

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Solution

The fourth proportional to 168.11, 232.00 and 119.00 is: 164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.11 : 232.00 = 119.00 : x
  2. Step 2: Convert to fraction form
    168.11/232.00 = 119.00/x
  3. Step 3: Cross multiply
    168.11x = 232.00 × 119.00
  4. Step 4: Simplify right side
    168.11x = 27,608.28
  5. Step 5: Solve for x
    x = 27,608.28/168.11
  6. Step 6: Final answer
    x = 164.23

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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.