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Finding the Fourth Proportional to 180.44, 270.44 and 93.73

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Solution

The fourth proportional to 180.44, 270.44 and 93.73 is: 140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.44 : 270.44 = 93.73 : x
  2. Step 2: Convert to fraction form
    180.44/270.44 = 93.73/x
  3. Step 3: Cross multiply
    180.44x = 270.44 × 93.73
  4. Step 4: Simplify right side
    180.44x = 25,347.33
  5. Step 5: Solve for x
    x = 25,347.33/180.44
  6. Step 6: Final answer
    x = 140.47

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