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Finding the Fourth Proportional to 263.43, 363.66 and 165.27

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Solution

The fourth proportional to 263.43, 363.66 and 165.27 is: 228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.43 : 363.66 = 165.27 : x
  2. Step 2: Convert to fraction form
    263.43/363.66 = 165.27/x
  3. Step 3: Cross multiply
    263.43x = 363.66 × 165.27
  4. Step 4: Simplify right side
    263.43x = 60,102.09
  5. Step 5: Solve for x
    x = 60,102.09/263.43
  6. Step 6: Final answer
    x = 228.15

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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.