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Finding the Fourth Proportional to 664.09, 996.07 and 177.14

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Solution

The fourth proportional to 664.09, 996.07 and 177.14 is: 265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.09 : 996.07 = 177.14 : x
  2. Step 2: Convert to fraction form
    664.09/996.07 = 177.14/x
  3. Step 3: Cross multiply
    664.09x = 996.07 × 177.14
  4. Step 4: Simplify right side
    664.09x = 176,443.84
  5. Step 5: Solve for x
    x = 176,443.84/664.09
  6. Step 6: Final answer
    x = 265.69

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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.