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Finding the Fourth Proportional to 199.36, 274.55 and 150.15

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Solution

The fourth proportional to 199.36, 274.55 and 150.15 is: 206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.36 : 274.55 = 150.15 : x
  2. Step 2: Convert to fraction form
    199.36/274.55 = 150.15/x
  3. Step 3: Cross multiply
    199.36x = 274.55 × 150.15
  4. Step 4: Simplify right side
    199.36x = 41,222.93
  5. Step 5: Solve for x
    x = 41,222.93/199.36
  6. Step 6: Final answer
    x = 206.78

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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.