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Finding the Fourth Proportional to 263.78, 363.92 and 165.50

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Solution

The fourth proportional to 263.78, 363.92 and 165.50 is: 228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.78 : 363.92 = 165.50 : x
  2. Step 2: Convert to fraction form
    263.78/363.92 = 165.50/x
  3. Step 3: Cross multiply
    263.78x = 363.92 × 165.50
  4. Step 4: Simplify right side
    263.78x = 60,228.76
  5. Step 5: Solve for x
    x = 60,228.76/263.78
  6. Step 6: Final answer
    x = 228.33

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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.