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Finding the Fourth Proportional to 663.78, 995.82 and 201.60

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Solution

The fourth proportional to 663.78, 995.82 and 201.60 is: 302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.78 : 995.82 = 201.60 : x
  2. Step 2: Convert to fraction form
    663.78/995.82 = 201.60/x
  3. Step 3: Cross multiply
    663.78x = 995.82 × 201.60
  4. Step 4: Simplify right side
    663.78x = 200,757.31
  5. Step 5: Solve for x
    x = 200,757.31/663.78
  6. Step 6: Final answer
    x = 302.45

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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.