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Finding the Fourth Proportional to 168.45, 231.37 and 164.40

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Solution

The fourth proportional to 168.45, 231.37 and 164.40 is: 225.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.45 : 231.37 = 164.40 : x
  2. Step 2: Convert to fraction form
    168.45/231.37 = 164.40/x
  3. Step 3: Cross multiply
    168.45x = 231.37 × 164.40
  4. Step 4: Simplify right side
    168.45x = 38,036.41
  5. Step 5: Solve for x
    x = 38,036.41/168.45
  6. Step 6: Final answer
    x = 225.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.