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Finding the Fourth Proportional to 665.96, 998.95 and 179.08

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Solution

The fourth proportional to 665.96, 998.95 and 179.08 is: 268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.96 : 998.95 = 179.08 : x
  2. Step 2: Convert to fraction form
    665.96/998.95 = 179.08/x
  3. Step 3: Cross multiply
    665.96x = 998.95 × 179.08
  4. Step 4: Simplify right side
    665.96x = 178,891.97
  5. Step 5: Solve for x
    x = 178,891.97/665.96
  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.