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Finding the Fourth Proportional to 662.10, 993.28 and 199.86

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Solution

The fourth proportional to 662.10, 993.28 and 199.86 is: 299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.10 : 993.28 = 199.86 : x
  2. Step 2: Convert to fraction form
    662.10/993.28 = 199.86/x
  3. Step 3: Cross multiply
    662.10x = 993.28 × 199.86
  4. Step 4: Simplify right side
    662.10x = 198,510.98
  5. Step 5: Solve for x
    x = 198,510.98/662.10
  6. Step 6: Final answer
    x = 299.82

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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.