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Finding the Fourth Proportional to 199.38, 298.67 and 137.53

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Solution

The fourth proportional to 199.38, 298.67 and 137.53 is: 206.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.38 : 298.67 = 137.53 : x
  2. Step 2: Convert to fraction form
    199.38/298.67 = 137.53/x
  3. Step 3: Cross multiply
    199.38x = 298.67 × 137.53
  4. Step 4: Simplify right side
    199.38x = 41,076.09
  5. Step 5: Solve for x
    x = 41,076.09/199.38
  6. Step 6: Final answer
    x = 206.02

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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.