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Finding the Fourth Proportional to 168.89, 232.90 and 162.23

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Solution

The fourth proportional to 168.89, 232.90 and 162.23 is: 223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.89 : 232.90 = 162.23 : x
  2. Step 2: Convert to fraction form
    168.89/232.90 = 162.23/x
  3. Step 3: Cross multiply
    168.89x = 232.90 × 162.23
  4. Step 4: Simplify right side
    168.89x = 37,782.91
  5. Step 5: Solve for x
    x = 37,782.91/168.89
  6. Step 6: Final answer
    x = 223.72

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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.