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Finding the Fourth Proportional to 168.24, 231.92 and 119

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Solution

The fourth proportional to 168.24, 231.92 and 119 is: 164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.24 : 231.92 = 119 : x
  2. Step 2: Convert to fraction form
    168.24/231.92 = 119/x
  3. Step 3: Cross multiply
    168.24x = 231.92 × 119
  4. Step 4: Simplify right side
    168.24x = 27,598.48
  5. Step 5: Solve for x
    x = 27,598.48/168.24
  6. Step 6: Final answer
    x = 164.04

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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.