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Finding the Fourth Proportional to 180.97, 249.80 and 107.33

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Solution

The fourth proportional to 180.97, 249.80 and 107.33 is: 148.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.97 : 249.80 = 107.33 : x
  2. Step 2: Convert to fraction form
    180.97/249.80 = 107.33/x
  3. Step 3: Cross multiply
    180.97x = 249.80 × 107.33
  4. Step 4: Simplify right side
    180.97x = 26,809.25
  5. Step 5: Solve for x
    x = 26,809.25/180.97
  6. Step 6: Final answer
    x = 148.14

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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.