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Finding the Fourth Proportional to 168.40, 232.23 and 160.30

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Solution

The fourth proportional to 168.40, 232.23 and 160.30 is: 221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.40 : 232.23 = 160.30 : x
  2. Step 2: Convert to fraction form
    168.40/232.23 = 160.30/x
  3. Step 3: Cross multiply
    168.40x = 232.23 × 160.30
  4. Step 4: Simplify right side
    168.40x = 37,226.47
  5. Step 5: Solve for x
    x = 37,226.47/168.40
  6. Step 6: Final answer
    x = 221.06

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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.