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Finding the Fourth Proportional to 168.86, 252.27 and 117.07

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Solution

The fourth proportional to 168.86, 252.27 and 117.07 is: 174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.86 : 252.27 = 117.07 : x
  2. Step 2: Convert to fraction form
    168.86/252.27 = 117.07/x
  3. Step 3: Cross multiply
    168.86x = 252.27 × 117.07
  4. Step 4: Simplify right side
    168.86x = 29,532.62
  5. Step 5: Solve for x
    x = 29,532.62/168.86
  6. Step 6: Final answer
    x = 174.89

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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.