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Finding the Fourth Proportional to 263.25, 363.08 and 207.97

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Solution

The fourth proportional to 263.25, 363.08 and 207.97 is: 286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.25 : 363.08 = 207.97 : x
  2. Step 2: Convert to fraction form
    263.25/363.08 = 207.97/x
  3. Step 3: Cross multiply
    263.25x = 363.08 × 207.97
  4. Step 4: Simplify right side
    263.25x = 75,509.36
  5. Step 5: Solve for x
    x = 75,509.36/263.25
  6. Step 6: Final answer
    x = 286.84

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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.