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Finding the Fourth Proportional to 664.87, 997.22 and 177.95

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Solution

The fourth proportional to 664.87, 997.22 and 177.95 is: 266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.87 : 997.22 = 177.95 : x
  2. Step 2: Convert to fraction form
    664.87/997.22 = 177.95/x
  3. Step 3: Cross multiply
    664.87x = 997.22 × 177.95
  4. Step 4: Simplify right side
    664.87x = 177,454.41
  5. Step 5: Solve for x
    x = 177,454.41/664.87
  6. Step 6: Final answer
    x = 266.90

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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.