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Finding the Fourth Proportional to 665.96, 998.91 and 179.09

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Solution

The fourth proportional to 665.96, 998.91 and 179.09 is: 268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.96 : 998.91 = 179.09 : x
  2. Step 2: Convert to fraction form
    665.96/998.91 = 179.09/x
  3. Step 3: Cross multiply
    665.96x = 998.91 × 179.09
  4. Step 4: Simplify right side
    665.96x = 178,889.80
  5. Step 5: Solve for x
    x = 178,889.80/665.96
  6. Step 6: Final answer
    x = 268.62

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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.