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Finding the Fourth Proportional to 199.63, 298.03 and 185.37

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Solution

The fourth proportional to 199.63, 298.03 and 185.37 is: 276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.63 : 298.03 = 185.37 : x
  2. Step 2: Convert to fraction form
    199.63/298.03 = 185.37/x
  3. Step 3: Cross multiply
    199.63x = 298.03 × 185.37
  4. Step 4: Simplify right side
    199.63x = 55,245.82
  5. Step 5: Solve for x
    x = 55,245.82/199.63
  6. Step 6: Final answer
    x = 276.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.