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Finding the Fourth Proportional to 664.81, 997.25 and 177.90

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Solution

The fourth proportional to 664.81, 997.25 and 177.90 is: 266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.81 : 997.25 = 177.90 : x
  2. Step 2: Convert to fraction form
    664.81/997.25 = 177.90/x
  3. Step 3: Cross multiply
    664.81x = 997.25 × 177.90
  4. Step 4: Simplify right side
    664.81x = 177,406.15
  5. Step 5: Solve for x
    x = 177,406.15/664.81
  6. Step 6: Final answer
    x = 266.85

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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.