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Finding the Fourth Proportional to 263.50, 363.51 and 165.22

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Solution

The fourth proportional to 263.50, 363.51 and 165.22 is: 227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.50 : 363.51 = 165.22 : x
  2. Step 2: Convert to fraction form
    263.50/363.51 = 165.22/x
  3. Step 3: Cross multiply
    263.50x = 363.51 × 165.22
  4. Step 4: Simplify right side
    263.50x = 60,058.21
  5. Step 5: Solve for x
    x = 60,058.21/263.50
  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.