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Finding the Fourth Proportional to 180.73, 249.36 and 103.09

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Solution

The fourth proportional to 180.73, 249.36 and 103.09 is: 142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.73 : 249.36 = 103.09 : x
  2. Step 2: Convert to fraction form
    180.73/249.36 = 103.09/x
  3. Step 3: Cross multiply
    180.73x = 249.36 × 103.09
  4. Step 4: Simplify right side
    180.73x = 25,706.52
  5. Step 5: Solve for x
    x = 25,706.52/180.73
  6. Step 6: Final answer
    x = 142.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.