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Finding the Fourth Proportional to 183.77, 276.97 and 181.94

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Solution

The fourth proportional to 183.77, 276.97 and 181.94 is: 274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.77 : 276.97 = 181.94 : x
  2. Step 2: Convert to fraction form
    183.77/276.97 = 181.94/x
  3. Step 3: Cross multiply
    183.77x = 276.97 × 181.94
  4. Step 4: Simplify right side
    183.77x = 50,391.01
  5. Step 5: Solve for x
    x = 50,391.01/183.77
  6. Step 6: Final answer
    x = 274.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.