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Finding the Fourth Proportional to 168.86, 253.11 and 141.86

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Solution

The fourth proportional to 168.86, 253.11 and 141.86 is: 212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.86 : 253.11 = 141.86 : x
  2. Step 2: Convert to fraction form
    168.86/253.11 = 141.86/x
  3. Step 3: Cross multiply
    168.86x = 253.11 × 141.86
  4. Step 4: Simplify right side
    168.86x = 35,906.18
  5. Step 5: Solve for x
    x = 35,906.18/168.86
  6. Step 6: Final answer
    x = 212.64

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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.