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Finding the Fourth Proportional to 664.47, 996.74 and 177.49

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Solution

The fourth proportional to 664.47, 996.74 and 177.49 is: 266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.47 : 996.74 = 177.49 : x
  2. Step 2: Convert to fraction form
    664.47/996.74 = 177.49/x
  3. Step 3: Cross multiply
    664.47x = 996.74 × 177.49
  4. Step 4: Simplify right side
    664.47x = 176,912.41
  5. Step 5: Solve for x
    x = 176,912.41/664.47
  6. Step 6: Final answer
    x = 266.25

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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.