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Finding the Fourth Proportional to 180.09, 269.82 and 107.82

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Solution

The fourth proportional to 180.09, 269.82 and 107.82 is: 161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.09 : 269.82 = 107.82 : x
  2. Step 2: Convert to fraction form
    180.09/269.82 = 107.82/x
  3. Step 3: Cross multiply
    180.09x = 269.82 × 107.82
  4. Step 4: Simplify right side
    180.09x = 29,091.99
  5. Step 5: Solve for x
    x = 29,091.99/180.09
  6. Step 6: Final answer
    x = 161.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.