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Finding the Fourth Proportional to 664.13, 996.19 and 177.17

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Solution

The fourth proportional to 664.13, 996.19 and 177.17 is: 265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.13 : 996.19 = 177.17 : x
  2. Step 2: Convert to fraction form
    664.13/996.19 = 177.17/x
  3. Step 3: Cross multiply
    664.13x = 996.19 × 177.17
  4. Step 4: Simplify right side
    664.13x = 176,489.56
  5. Step 5: Solve for x
    x = 176,489.56/664.13
  6. Step 6: Final answer
    x = 265.74

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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.