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Finding the Fourth Proportional to 662.12, 992.86 and 199.81

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Solution

The fourth proportional to 662.12, 992.86 and 199.81 is: 299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.12 : 992.86 = 199.81 : x
  2. Step 2: Convert to fraction form
    662.12/992.86 = 199.81/x
  3. Step 3: Cross multiply
    662.12x = 992.86 × 199.81
  4. Step 4: Simplify right side
    662.12x = 198,384.10
  5. Step 5: Solve for x
    x = 198,384.10/662.12
  6. Step 6: Final answer
    x = 299.62

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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.