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Finding the Fourth Proportional to 263.20, 363.04 and 164.80

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Solution

The fourth proportional to 263.20, 363.04 and 164.80 is: 227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.20 : 363.04 = 164.80 : x
  2. Step 2: Convert to fraction form
    263.20/363.04 = 164.80/x
  3. Step 3: Cross multiply
    263.20x = 363.04 × 164.80
  4. Step 4: Simplify right side
    263.20x = 59,828.99
  5. Step 5: Solve for x
    x = 59,828.99/263.20
  6. Step 6: Final answer
    x = 227.31

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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.