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Finding the Fourth Proportional to 366.03, 505.13 and 200.22

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Solution

The fourth proportional to 366.03, 505.13 and 200.22 is: 276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.03 : 505.13 = 200.22 : x
  2. Step 2: Convert to fraction form
    366.03/505.13 = 200.22/x
  3. Step 3: Cross multiply
    366.03x = 505.13 × 200.22
  4. Step 4: Simplify right side
    366.03x = 101,136.13
  5. Step 5: Solve for x
    x = 101,136.13/366.03
  6. Step 6: Final answer
    x = 276.31

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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.