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Finding the Fourth Proportional to 664.56, 996.84 and 177.62

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Solution

The fourth proportional to 664.56, 996.84 and 177.62 is: 266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.56 : 996.84 = 177.62 : x
  2. Step 2: Convert to fraction form
    664.56/996.84 = 177.62/x
  3. Step 3: Cross multiply
    664.56x = 996.84 × 177.62
  4. Step 4: Simplify right side
    664.56x = 177,053.74
  5. Step 5: Solve for x
    x = 177,053.74/664.56
  6. Step 6: Final answer
    x = 266.42

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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.