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Finding the Fourth Proportional to 180.86, 249.63 and 122.54

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Solution

The fourth proportional to 180.86, 249.63 and 122.54 is: 169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.86 : 249.63 = 122.54 : x
  2. Step 2: Convert to fraction form
    180.86/249.63 = 122.54/x
  3. Step 3: Cross multiply
    180.86x = 249.63 × 122.54
  4. Step 4: Simplify right side
    180.86x = 30,589.66
  5. Step 5: Solve for x
    x = 30,589.66/180.86
  6. Step 6: Final answer
    x = 169.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.