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Finding the Fourth Proportional to 366.35, 505.57 and 200.56

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Solution

The fourth proportional to 366.35, 505.57 and 200.56 is: 276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.35 : 505.57 = 200.56 : x
  2. Step 2: Convert to fraction form
    366.35/505.57 = 200.56/x
  3. Step 3: Cross multiply
    366.35x = 505.57 × 200.56
  4. Step 4: Simplify right side
    366.35x = 101,398.45
  5. Step 5: Solve for x
    x = 101,398.45/366.35
  6. Step 6: Final answer
    x = 276.78

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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.