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Finding the Fourth Proportional to 183.78, 273.74 and 183.43

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Solution

The fourth proportional to 183.78, 273.74 and 183.43 is: 273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.78 : 273.74 = 183.43 : x
  2. Step 2: Convert to fraction form
    183.78/273.74 = 183.43/x
  3. Step 3: Cross multiply
    183.78x = 273.74 × 183.43
  4. Step 4: Simplify right side
    183.78x = 50,212.13
  5. Step 5: Solve for x
    x = 50,212.13/183.78
  6. Step 6: Final answer
    x = 273.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.