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Finding the Fourth Proportional to 366.46, 505.73 and 200.68

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Solution

The fourth proportional to 366.46, 505.73 and 200.68 is: 276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.46 : 505.73 = 200.68 : x
  2. Step 2: Convert to fraction form
    366.46/505.73 = 200.68/x
  3. Step 3: Cross multiply
    366.46x = 505.73 × 200.68
  4. Step 4: Simplify right side
    366.46x = 101,489.90
  5. Step 5: Solve for x
    x = 101,489.90/366.46
  6. Step 6: Final answer
    x = 276.95

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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.