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Finding the Fourth Proportional to 183.20, 275.17 and 121.69

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Solution

The fourth proportional to 183.20, 275.17 and 121.69 is: 182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.20 : 275.17 = 121.69 : x
  2. Step 2: Convert to fraction form
    183.20/275.17 = 121.69/x
  3. Step 3: Cross multiply
    183.20x = 275.17 × 121.69
  4. Step 4: Simplify right side
    183.20x = 33,485.44
  5. Step 5: Solve for x
    x = 33,485.44/183.20
  6. Step 6: Final answer
    x = 182.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.