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Finding the Fourth Proportional to 664.14, 995.83 and 201.79

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Solution

The fourth proportional to 664.14, 995.83 and 201.79 is: 302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.14 : 995.83 = 201.79 : x
  2. Step 2: Convert to fraction form
    664.14/995.83 = 201.79/x
  3. Step 3: Cross multiply
    664.14x = 995.83 × 201.79
  4. Step 4: Simplify right side
    664.14x = 200,948.54
  5. Step 5: Solve for x
    x = 200,948.54/664.14
  6. Step 6: Final answer
    x = 302.57

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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.