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Finding the Fourth Proportional to 183.72, 274.76 and 138.10

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Solution

The fourth proportional to 183.72, 274.76 and 138.10 is: 206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.72 : 274.76 = 138.10 : x
  2. Step 2: Convert to fraction form
    183.72/274.76 = 138.10/x
  3. Step 3: Cross multiply
    183.72x = 274.76 × 138.10
  4. Step 4: Simplify right side
    183.72x = 37,944.36
  5. Step 5: Solve for x
    x = 37,944.36/183.72
  6. Step 6: Final answer
    x = 206.53

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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.