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Finding the Fourth Proportional to 168.28, 230.74 and 151.84

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Solution

The fourth proportional to 168.28, 230.74 and 151.84 is: 208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.28 : 230.74 = 151.84 : x
  2. Step 2: Convert to fraction form
    168.28/230.74 = 151.84/x
  3. Step 3: Cross multiply
    168.28x = 230.74 × 151.84
  4. Step 4: Simplify right side
    168.28x = 35,035.56
  5. Step 5: Solve for x
    x = 35,035.56/168.28
  6. Step 6: Final answer
    x = 208.20

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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.