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Finding the Fourth Proportional to 168.28, 231.98 and 119

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Solution

The fourth proportional to 168.28, 231.98 and 119 is: 164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.28 : 231.98 = 119 : x
  2. Step 2: Convert to fraction form
    168.28/231.98 = 119/x
  3. Step 3: Cross multiply
    168.28x = 231.98 × 119
  4. Step 4: Simplify right side
    168.28x = 27,605.62
  5. Step 5: Solve for x
    x = 27,605.62/168.28
  6. Step 6: Final answer
    x = 164.05

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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.