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Finding the Fourth Proportional to 331.14, 456.98 and 200.24

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Solution

The fourth proportional to 331.14, 456.98 and 200.24 is: 276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.14 : 456.98 = 200.24 : x
  2. Step 2: Convert to fraction form
    331.14/456.98 = 200.24/x
  3. Step 3: Cross multiply
    331.14x = 456.98 × 200.24
  4. Step 4: Simplify right side
    331.14x = 91,505.68
  5. Step 5: Solve for x
    x = 91,505.68/331.14
  6. Step 6: Final answer
    x = 276.34

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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.