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Finding the Fourth Proportional to 183.28, 274.96 and 92.02

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Solution

The fourth proportional to 183.28, 274.96 and 92.02 is: 138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.28 : 274.96 = 92.02 : x
  2. Step 2: Convert to fraction form
    183.28/274.96 = 92.02/x
  3. Step 3: Cross multiply
    183.28x = 274.96 × 92.02
  4. Step 4: Simplify right side
    183.28x = 25,301.82
  5. Step 5: Solve for x
    x = 25,301.82/183.28
  6. Step 6: Final answer
    x = 138.05

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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.