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Finding the Fourth Proportional to 168.21, 251.69 and 120.02

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Solution

The fourth proportional to 168.21, 251.69 and 120.02 is: 179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.21 : 251.69 = 120.02 : x
  2. Step 2: Convert to fraction form
    168.21/251.69 = 120.02/x
  3. Step 3: Cross multiply
    168.21x = 251.69 × 120.02
  4. Step 4: Simplify right side
    168.21x = 30,205.98
  5. Step 5: Solve for x
    x = 30,205.98/168.21
  6. Step 6: Final answer
    x = 179.57

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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.