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Finding the Fourth Proportional to 662.16, 993.20 and 199.92

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Solution

The fourth proportional to 662.16, 993.20 and 199.92 is: 299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.16 : 993.20 = 199.92 : x
  2. Step 2: Convert to fraction form
    662.16/993.20 = 199.92/x
  3. Step 3: Cross multiply
    662.16x = 993.20 × 199.92
  4. Step 4: Simplify right side
    662.16x = 198,559.54
  5. Step 5: Solve for x
    x = 198,559.54/662.16
  6. Step 6: Final answer
    x = 299.87

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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.