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Finding the Fourth Proportional to 263.93, 364.15 and 208.49

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Solution

The fourth proportional to 263.93, 364.15 and 208.49 is: 287.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.93 : 364.15 = 208.49 : x
  2. Step 2: Convert to fraction form
    263.93/364.15 = 208.49/x
  3. Step 3: Cross multiply
    263.93x = 364.15 × 208.49
  4. Step 4: Simplify right side
    263.93x = 75,920.59
  5. Step 5: Solve for x
    x = 75,920.59/263.93
  6. Step 6: Final answer
    x = 287.65

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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.