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Finding the Fourth Proportional to 168.81, 231.63 and 162.33

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Solution

The fourth proportional to 168.81, 231.63 and 162.33 is: 222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.81 : 231.63 = 162.33 : x
  2. Step 2: Convert to fraction form
    168.81/231.63 = 162.33/x
  3. Step 3: Cross multiply
    168.81x = 231.63 × 162.33
  4. Step 4: Simplify right side
    168.81x = 37,600.50
  5. Step 5: Solve for x
    x = 37,600.50/168.81
  6. Step 6: Final answer
    x = 222.74

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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.