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Finding the Fourth Proportional to 199.15, 300.22 and 185.94

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Solution

The fourth proportional to 199.15, 300.22 and 185.94 is: 280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.15 : 300.22 = 185.94 : x
  2. Step 2: Convert to fraction form
    199.15/300.22 = 185.94/x
  3. Step 3: Cross multiply
    199.15x = 300.22 × 185.94
  4. Step 4: Simplify right side
    199.15x = 55,822.91
  5. Step 5: Solve for x
    x = 55,822.91/199.15
  6. Step 6: Final answer
    x = 280.31

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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.