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Finding the Fourth Proportional to 180.41, 249.05 and 118.25

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Solution

The fourth proportional to 180.41, 249.05 and 118.25 is: 163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.41 : 249.05 = 118.25 : x
  2. Step 2: Convert to fraction form
    180.41/249.05 = 118.25/x
  3. Step 3: Cross multiply
    180.41x = 249.05 × 118.25
  4. Step 4: Simplify right side
    180.41x = 29,448.92
  5. Step 5: Solve for x
    x = 29,448.92/180.41
  6. Step 6: Final answer
    x = 163.23

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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.