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Finding the Fourth Proportional to 331.82, 457.98 and 200.90

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Solution

The fourth proportional to 331.82, 457.98 and 200.90 is: 277.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.82 : 457.98 = 200.90 : x
  2. Step 2: Convert to fraction form
    331.82/457.98 = 200.90/x
  3. Step 3: Cross multiply
    331.82x = 457.98 × 200.90
  4. Step 4: Simplify right side
    331.82x = 92,007.18
  5. Step 5: Solve for x
    x = 92,007.18/331.82
  6. Step 6: Final answer
    x = 277.28

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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.