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Finding the Fourth Proportional to 331.34, 457.16 and 226.31

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Solution

The fourth proportional to 331.34, 457.16 and 226.31 is: 312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.34 : 457.16 = 226.31 : x
  2. Step 2: Convert to fraction form
    331.34/457.16 = 226.31/x
  3. Step 3: Cross multiply
    331.34x = 457.16 × 226.31
  4. Step 4: Simplify right side
    331.34x = 103,456.46
  5. Step 5: Solve for x
    x = 103,456.46/331.34
  6. Step 6: Final answer
    x = 312.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.