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Finding the Fourth Proportional to 183.46, 274.85 and 92.05

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Solution

The fourth proportional to 183.46, 274.85 and 92.05 is: 137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.46 : 274.85 = 92.05 : x
  2. Step 2: Convert to fraction form
    183.46/274.85 = 92.05/x
  3. Step 3: Cross multiply
    183.46x = 274.85 × 92.05
  4. Step 4: Simplify right side
    183.46x = 25,298.80
  5. Step 5: Solve for x
    x = 25,298.80/183.46
  6. Step 6: Final answer
    x = 137.90

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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.