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Finding the Fourth Proportional to 180.75, 249.37 and 107.09

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Solution

The fourth proportional to 180.75, 249.37 and 107.09 is: 147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.75 : 249.37 = 107.09 : x
  2. Step 2: Convert to fraction form
    180.75/249.37 = 107.09/x
  3. Step 3: Cross multiply
    180.75x = 249.37 × 107.09
  4. Step 4: Simplify right side
    180.75x = 26,705.03
  5. Step 5: Solve for x
    x = 26,705.03/180.75
  6. Step 6: Final answer
    x = 147.75

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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.