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Finding the Fourth Proportional to 366.12, 505.22 and 200.32

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Solution

The fourth proportional to 366.12, 505.22 and 200.32 is: 276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.12 : 505.22 = 200.32 : x
  2. Step 2: Convert to fraction form
    366.12/505.22 = 200.32/x
  3. Step 3: Cross multiply
    366.12x = 505.22 × 200.32
  4. Step 4: Simplify right side
    366.12x = 101,205.67
  5. Step 5: Solve for x
    x = 101,205.67/366.12
  6. Step 6: Final answer
    x = 276.43

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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.