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Finding the Fourth Proportional to 366.16, 505.31 and 200.37

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Solution

The fourth proportional to 366.16, 505.31 and 200.37 is: 276.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.16 : 505.31 = 200.37 : x
  2. Step 2: Convert to fraction form
    366.16/505.31 = 200.37/x
  3. Step 3: Cross multiply
    366.16x = 505.31 × 200.37
  4. Step 4: Simplify right side
    366.16x = 101,249.86
  5. Step 5: Solve for x
    x = 101,249.86/366.16
  6. Step 6: Final answer
    x = 276.52

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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.