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Finding the Fourth Proportional to 183.05, 272.77 and 182.37

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Solution

The fourth proportional to 183.05, 272.77 and 182.37 is: 271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.05 : 272.77 = 182.37 : x
  2. Step 2: Convert to fraction form
    183.05/272.77 = 182.37/x
  3. Step 3: Cross multiply
    183.05x = 272.77 × 182.37
  4. Step 4: Simplify right side
    183.05x = 49,745.06
  5. Step 5: Solve for x
    x = 49,745.06/183.05
  6. Step 6: Final answer
    x = 271.76

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Why These Related Problems?

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