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Finding the Fourth Proportional to 183.39, 274.81 and 91.95

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Solution

The fourth proportional to 183.39, 274.81 and 91.95 is: 137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.39 : 274.81 = 91.95 : x
  2. Step 2: Convert to fraction form
    183.39/274.81 = 91.95/x
  3. Step 3: Cross multiply
    183.39x = 274.81 × 91.95
  4. Step 4: Simplify right side
    183.39x = 25,268.78
  5. Step 5: Solve for x
    x = 25,268.78/183.39
  6. Step 6: Final answer
    x = 137.79

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Why These Related Problems?

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