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Finding the Fourth Proportional to 183.24, 272.97 and 180.18

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Solution

The fourth proportional to 183.24, 272.97 and 180.18 is: 268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.24 : 272.97 = 180.18 : x
  2. Step 2: Convert to fraction form
    183.24/272.97 = 180.18/x
  3. Step 3: Cross multiply
    183.24x = 272.97 × 180.18
  4. Step 4: Simplify right side
    183.24x = 49,183.73
  5. Step 5: Solve for x
    x = 49,183.73/183.24
  6. Step 6: Final answer
    x = 268.41

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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.