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Finding the Fourth Proportional to 263.23, 363.10 and 200.97

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Solution

The fourth proportional to 263.23, 363.10 and 200.97 is: 277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.23 : 363.10 = 200.97 : x
  2. Step 2: Convert to fraction form
    263.23/363.10 = 200.97/x
  3. Step 3: Cross multiply
    263.23x = 363.10 × 200.97
  4. Step 4: Simplify right side
    263.23x = 72,972.21
  5. Step 5: Solve for x
    x = 72,972.21/263.23
  6. Step 6: Final answer
    x = 277.22

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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.