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Finding the Fourth Proportional to 263.89, 364.35 and 208.90

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Solution

The fourth proportional to 263.89, 364.35 and 208.90 is: 288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.89 : 364.35 = 208.90 : x
  2. Step 2: Convert to fraction form
    263.89/364.35 = 208.90/x
  3. Step 3: Cross multiply
    263.89x = 364.35 × 208.90
  4. Step 4: Simplify right side
    263.89x = 76,112.72
  5. Step 5: Solve for x
    x = 76,112.72/263.89
  6. Step 6: Final answer
    x = 288.43

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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.