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Finding the Fourth Proportional to 320.26, 441.75 and 203.62

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Solution

The fourth proportional to 320.26, 441.75 and 203.62 is: 280.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.26 : 441.75 = 203.62 : x
  2. Step 2: Convert to fraction form
    320.26/441.75 = 203.62/x
  3. Step 3: Cross multiply
    320.26x = 441.75 × 203.62
  4. Step 4: Simplify right side
    320.26x = 89,949.14
  5. Step 5: Solve for x
    x = 89,949.14/320.26
  6. Step 6: Final answer
    x = 280.86

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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.