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Finding the Fourth Proportional to 663.96, 995.96 and 201.75

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Solution

The fourth proportional to 663.96, 995.96 and 201.75 is: 302.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.96 : 995.96 = 201.75 : x
  2. Step 2: Convert to fraction form
    663.96/995.96 = 201.75/x
  3. Step 3: Cross multiply
    663.96x = 995.96 × 201.75
  4. Step 4: Simplify right side
    663.96x = 200,934.93
  5. Step 5: Solve for x
    x = 200,934.93/663.96
  6. Step 6: Final answer
    x = 302.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.