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Finding the Fourth Proportional to 366.49, 505.71 and 200.68

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Solution

The fourth proportional to 366.49, 505.71 and 200.68 is: 276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.49 : 505.71 = 200.68 : x
  2. Step 2: Convert to fraction form
    366.49/505.71 = 200.68/x
  3. Step 3: Cross multiply
    366.49x = 505.71 × 200.68
  4. Step 4: Simplify right side
    366.49x = 101,484.62
  5. Step 5: Solve for x
    x = 101,484.62/366.49
  6. Step 6: Final answer
    x = 276.91

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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.