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Finding the Fourth Proportional to 168.12, 252.36 and 137.34

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Solution

The fourth proportional to 168.12, 252.36 and 137.34 is: 206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.12 : 252.36 = 137.34 : x
  2. Step 2: Convert to fraction form
    168.12/252.36 = 137.34/x
  3. Step 3: Cross multiply
    168.12x = 252.36 × 137.34
  4. Step 4: Simplify right side
    168.12x = 34,659.12
  5. Step 5: Solve for x
    x = 34,659.12/168.12
  6. Step 6: Final answer
    x = 206.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.