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Finding the Fourth Proportional to 263.10, 363.06 and 200.82

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Solution

The fourth proportional to 263.10, 363.06 and 200.82 is: 277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.10 : 363.06 = 200.82 : x
  2. Step 2: Convert to fraction form
    263.10/363.06 = 200.82/x
  3. Step 3: Cross multiply
    263.10x = 363.06 × 200.82
  4. Step 4: Simplify right side
    263.10x = 72,909.71
  5. Step 5: Solve for x
    x = 72,909.71/263.10
  6. Step 6: Final answer
    x = 277.12

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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.