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Finding the Fourth Proportional to 331.64, 496.60 and 201.48

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Solution

The fourth proportional to 331.64, 496.60 and 201.48 is: 301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.64 : 496.60 = 201.48 : x
  2. Step 2: Convert to fraction form
    331.64/496.60 = 201.48/x
  3. Step 3: Cross multiply
    331.64x = 496.60 × 201.48
  4. Step 4: Simplify right side
    331.64x = 100,054.97
  5. Step 5: Solve for x
    x = 100,054.97/331.64
  6. Step 6: Final answer
    x = 301.70

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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.