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Finding the Fourth Proportional to 183.92, 277.96 and 180.73

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Solution

The fourth proportional to 183.92, 277.96 and 180.73 is: 273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.92 : 277.96 = 180.73 : x
  2. Step 2: Convert to fraction form
    183.92/277.96 = 180.73/x
  3. Step 3: Cross multiply
    183.92x = 277.96 × 180.73
  4. Step 4: Simplify right side
    183.92x = 50,234.32
  5. Step 5: Solve for x
    x = 50,234.32/183.92
  6. Step 6: Final answer
    x = 273.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.