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Finding the Fourth Proportional to 662.08, 993.26 and 199.83

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Solution

The fourth proportional to 662.08, 993.26 and 199.83 is: 299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.08 : 993.26 = 199.83 : x
  2. Step 2: Convert to fraction form
    662.08/993.26 = 199.83/x
  3. Step 3: Cross multiply
    662.08x = 993.26 × 199.83
  4. Step 4: Simplify right side
    662.08x = 198,483.15
  5. Step 5: Solve for x
    x = 198,483.15/662.08
  6. Step 6: Final answer
    x = 299.79

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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.