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Finding the Fourth Proportional to 366.76, 506.10 and 200.97

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Solution

The fourth proportional to 366.76, 506.10 and 200.97 is: 277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.76 : 506.10 = 200.97 : x
  2. Step 2: Convert to fraction form
    366.76/506.10 = 200.97/x
  3. Step 3: Cross multiply
    366.76x = 506.10 × 200.97
  4. Step 4: Simplify right side
    366.76x = 101,710.92
  5. Step 5: Solve for x
    x = 101,710.92/366.76
  6. Step 6: Final answer
    x = 277.32

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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.