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Finding the Fourth Proportional to 183.20, 252.59 and 120.93

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Solution

The fourth proportional to 183.20, 252.59 and 120.93 is: 166.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.20 : 252.59 = 120.93 : x
  2. Step 2: Convert to fraction form
    183.20/252.59 = 120.93/x
  3. Step 3: Cross multiply
    183.20x = 252.59 × 120.93
  4. Step 4: Simplify right side
    183.20x = 30,544.16
  5. Step 5: Solve for x
    x = 30,544.16/183.20
  6. Step 6: Final answer
    x = 166.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.