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Finding the Fourth Proportional to 199.21, 274.67 and 149.48

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Solution

The fourth proportional to 199.21, 274.67 and 149.48 is: 206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.21 : 274.67 = 149.48 : x
  2. Step 2: Convert to fraction form
    199.21/274.67 = 149.48/x
  3. Step 3: Cross multiply
    199.21x = 274.67 × 149.48
  4. Step 4: Simplify right side
    199.21x = 41,057.98
  5. Step 5: Solve for x
    x = 41,057.98/199.21
  6. Step 6: Final answer
    x = 206.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.