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Finding the Fourth Proportional to 168.48, 251.07 and 162.98

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Solution

The fourth proportional to 168.48, 251.07 and 162.98 is: 242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.48 : 251.07 = 162.98 : x
  2. Step 2: Convert to fraction form
    168.48/251.07 = 162.98/x
  3. Step 3: Cross multiply
    168.48x = 251.07 × 162.98
  4. Step 4: Simplify right side
    168.48x = 40,919.15
  5. Step 5: Solve for x
    x = 40,919.15/168.48
  6. Step 6: Final answer
    x = 242.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.