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Finding the Fourth Proportional to 331.58, 496.37 and 227.24

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Solution

The fourth proportional to 331.58, 496.37 and 227.24 is: 340.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.58 : 496.37 = 227.24 : x
  2. Step 2: Convert to fraction form
    331.58/496.37 = 227.24/x
  3. Step 3: Cross multiply
    331.58x = 496.37 × 227.24
  4. Step 4: Simplify right side
    331.58x = 112,797.72
  5. Step 5: Solve for x
    x = 112,797.72/331.58
  6. Step 6: Final answer
    x = 340.18

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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.