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Finding the Fourth Proportional to 168.50, 231.99 and 143.55

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Solution

The fourth proportional to 168.50, 231.99 and 143.55 is: 197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.50 : 231.99 = 143.55 : x
  2. Step 2: Convert to fraction form
    168.50/231.99 = 143.55/x
  3. Step 3: Cross multiply
    168.50x = 231.99 × 143.55
  4. Step 4: Simplify right side
    168.50x = 33,302.16
  5. Step 5: Solve for x
    x = 33,302.16/168.50
  6. Step 6: Final answer
    x = 197.64

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Why These Related Problems?

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