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Finding the Fourth Proportional to 263.64, 363.69 and 165.23

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Solution

The fourth proportional to 263.64, 363.69 and 165.23 is: 227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.64 : 363.69 = 165.23 : x
  2. Step 2: Convert to fraction form
    263.64/363.69 = 165.23/x
  3. Step 3: Cross multiply
    263.64x = 363.69 × 165.23
  4. Step 4: Simplify right side
    263.64x = 60,092.50
  5. Step 5: Solve for x
    x = 60,092.50/263.64
  6. Step 6: Final answer
    x = 227.93

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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.