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Finding the Fourth Proportional to 366.08, 505.21 and 200.30

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Solution

The fourth proportional to 366.08, 505.21 and 200.30 is: 276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.08 : 505.21 = 200.30 : x
  2. Step 2: Convert to fraction form
    366.08/505.21 = 200.30/x
  3. Step 3: Cross multiply
    366.08x = 505.21 × 200.30
  4. Step 4: Simplify right side
    366.08x = 101,194.33
  5. Step 5: Solve for x
    x = 101,194.33/366.08
  6. Step 6: Final answer
    x = 276.42

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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.