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Finding the Fourth Proportional to 168.22, 232.20 and 150.70

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Solution

The fourth proportional to 168.22, 232.20 and 150.70 is: 208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.22 : 232.20 = 150.70 : x
  2. Step 2: Convert to fraction form
    168.22/232.20 = 150.70/x
  3. Step 3: Cross multiply
    168.22x = 232.20 × 150.70
  4. Step 4: Simplify right side
    168.22x = 34,992.54
  5. Step 5: Solve for x
    x = 34,992.54/168.22
  6. Step 6: Final answer
    x = 208.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.