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Finding the Fourth Proportional to 168.22, 251.58 and 164.38

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Solution

The fourth proportional to 168.22, 251.58 and 164.38 is: 245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.22 : 251.58 = 164.38 : x
  2. Step 2: Convert to fraction form
    168.22/251.58 = 164.38/x
  3. Step 3: Cross multiply
    168.22x = 251.58 × 164.38
  4. Step 4: Simplify right side
    168.22x = 41,354.72
  5. Step 5: Solve for x
    x = 41,354.72/168.22
  6. Step 6: Final answer
    x = 245.84

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