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Finding the Fourth Proportional to 180.94, 249.61 and 107.23

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Solution

The fourth proportional to 180.94, 249.61 and 107.23 is: 147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.94 : 249.61 = 107.23 : x
  2. Step 2: Convert to fraction form
    180.94/249.61 = 107.23/x
  3. Step 3: Cross multiply
    180.94x = 249.61 × 107.23
  4. Step 4: Simplify right side
    180.94x = 26,765.68
  5. Step 5: Solve for x
    x = 26,765.68/180.94
  6. Step 6: Final answer
    x = 147.93

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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.