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Finding the Fourth Proportional to 263.78, 364.08 and 207.73

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Solution

The fourth proportional to 263.78, 364.08 and 207.73 is: 286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.78 : 364.08 = 207.73 : x
  2. Step 2: Convert to fraction form
    263.78/364.08 = 207.73/x
  3. Step 3: Cross multiply
    263.78x = 364.08 × 207.73
  4. Step 4: Simplify right side
    263.78x = 75,630.34
  5. Step 5: Solve for x
    x = 75,630.34/263.78
  6. Step 6: Final answer
    x = 286.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.