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Finding the Fourth Proportional to 183.63, 251.91 and 178.83

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Solution

The fourth proportional to 183.63, 251.91 and 178.83 is: 245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.63 : 251.91 = 178.83 : x
  2. Step 2: Convert to fraction form
    183.63/251.91 = 178.83/x
  3. Step 3: Cross multiply
    183.63x = 251.91 × 178.83
  4. Step 4: Simplify right side
    183.63x = 45,049.07
  5. Step 5: Solve for x
    x = 45,049.07/183.63
  6. Step 6: Final answer
    x = 245.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.