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Finding the Fourth Proportional to 331.20, 457.14 and 200.22

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Solution

The fourth proportional to 331.20, 457.14 and 200.22 is: 276.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.20 : 457.14 = 200.22 : x
  2. Step 2: Convert to fraction form
    331.20/457.14 = 200.22/x
  3. Step 3: Cross multiply
    331.20x = 457.14 × 200.22
  4. Step 4: Simplify right side
    331.20x = 91,528.57
  5. Step 5: Solve for x
    x = 91,528.57/331.20
  6. Step 6: Final answer
    x = 276.35

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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.