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Finding the Fourth Proportional to 168.50, 232.56 and 160.80

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Solution

The fourth proportional to 168.50, 232.56 and 160.80 is: 221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.50 : 232.56 = 160.80 : x
  2. Step 2: Convert to fraction form
    168.50/232.56 = 160.80/x
  3. Step 3: Cross multiply
    168.50x = 232.56 × 160.80
  4. Step 4: Simplify right side
    168.50x = 37,395.63
  5. Step 5: Solve for x
    x = 37,395.63/168.50
  6. Step 6: Final answer
    x = 221.94

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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.