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Finding the Fourth Proportional to 199.89, 299.73 and 108.66

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Solution

The fourth proportional to 199.89, 299.73 and 108.66 is: 162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.89 : 299.73 = 108.66 : x
  2. Step 2: Convert to fraction form
    199.89/299.73 = 108.66/x
  3. Step 3: Cross multiply
    199.89x = 299.73 × 108.66
  4. Step 4: Simplify right side
    199.89x = 32,568.66
  5. Step 5: Solve for x
    x = 32,568.66/199.89
  6. Step 6: Final answer
    x = 162.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.