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Finding the Fourth Proportional to 184.87, 252.94 and 184.11

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Solution

The fourth proportional to 184.87, 252.94 and 184.11 is: 251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.87 : 252.94 = 184.11 : x
  2. Step 2: Convert to fraction form
    184.87/252.94 = 184.11/x
  3. Step 3: Cross multiply
    184.87x = 252.94 × 184.11
  4. Step 4: Simplify right side
    184.87x = 46,568.78
  5. Step 5: Solve for x
    x = 46,568.78/184.87
  6. Step 6: Final answer
    x = 251.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.