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Finding the Fourth Proportional to 331.21, 496.64 and 177.09

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Solution

The fourth proportional to 331.21, 496.64 and 177.09 is: 265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.21 : 496.64 = 177.09 : x
  2. Step 2: Convert to fraction form
    331.21/496.64 = 177.09/x
  3. Step 3: Cross multiply
    331.21x = 496.64 × 177.09
  4. Step 4: Simplify right side
    331.21x = 87,949.98
  5. Step 5: Solve for x
    x = 87,949.98/331.21
  6. Step 6: Final answer
    x = 265.54

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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.