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Finding the Fourth Proportional to 366.75, 506.12 and 200.97

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Solution

The fourth proportional to 366.75, 506.12 and 200.97 is: 277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.75 : 506.12 = 200.97 : x
  2. Step 2: Convert to fraction form
    366.75/506.12 = 200.97/x
  3. Step 3: Cross multiply
    366.75x = 506.12 × 200.97
  4. Step 4: Simplify right side
    366.75x = 101,714.94
  5. Step 5: Solve for x
    x = 101,714.94/366.75
  6. Step 6: Final answer
    x = 277.34

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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.