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Finding the Fourth Proportional to 331.38, 497.21 and 177.26

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Solution

The fourth proportional to 331.38, 497.21 and 177.26 is: 265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.38 : 497.21 = 177.26 : x
  2. Step 2: Convert to fraction form
    331.38/497.21 = 177.26/x
  3. Step 3: Cross multiply
    331.38x = 497.21 × 177.26
  4. Step 4: Simplify right side
    331.38x = 88,135.44
  5. Step 5: Solve for x
    x = 88,135.44/331.38
  6. Step 6: Final answer
    x = 265.96

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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.