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Finding the Fourth Proportional to 168.66, 233.94 and 164.04

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Solution

The fourth proportional to 168.66, 233.94 and 164.04 is: 227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.66 : 233.94 = 164.04 : x
  2. Step 2: Convert to fraction form
    168.66/233.94 = 164.04/x
  3. Step 3: Cross multiply
    168.66x = 233.94 × 164.04
  4. Step 4: Simplify right side
    168.66x = 38,375.52
  5. Step 5: Solve for x
    x = 38,375.52/168.66
  6. Step 6: Final answer
    x = 227.53

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Why These Related Problems?

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