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Finding the Fourth Proportional to 168.24, 251.91 and 161.58

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Solution

The fourth proportional to 168.24, 251.91 and 161.58 is: 241.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.24 : 251.91 = 161.58 : x
  2. Step 2: Convert to fraction form
    168.24/251.91 = 161.58/x
  3. Step 3: Cross multiply
    168.24x = 251.91 × 161.58
  4. Step 4: Simplify right side
    168.24x = 40,703.62
  5. Step 5: Solve for x
    x = 40,703.62/168.24
  6. Step 6: Final answer
    x = 241.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.