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Finding the Fourth Proportional to 168.20, 233.09 and 164.96

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Solution

The fourth proportional to 168.20, 233.09 and 164.96 is: 228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.20 : 233.09 = 164.96 : x
  2. Step 2: Convert to fraction form
    168.20/233.09 = 164.96/x
  3. Step 3: Cross multiply
    168.20x = 233.09 × 164.96
  4. Step 4: Simplify right side
    168.20x = 38,450.53
  5. Step 5: Solve for x
    x = 38,450.53/168.20
  6. Step 6: Final answer
    x = 228.60

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.