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Finding the Fourth Proportional to 168.78, 252.94 and 120.58

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Solution

The fourth proportional to 168.78, 252.94 and 120.58 is: 180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.78 : 252.94 = 120.58 : x
  2. Step 2: Convert to fraction form
    168.78/252.94 = 120.58/x
  3. Step 3: Cross multiply
    168.78x = 252.94 × 120.58
  4. Step 4: Simplify right side
    168.78x = 30,499.51
  5. Step 5: Solve for x
    x = 30,499.51/168.78
  6. Step 6: Final answer
    x = 180.71

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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.