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Finding the Fourth Proportional to 203.22, 280.31 and 159.48

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Solution

The fourth proportional to 203.22, 280.31 and 159.48 is: 219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.22 : 280.31 = 159.48 : x
  2. Step 2: Convert to fraction form
    203.22/280.31 = 159.48/x
  3. Step 3: Cross multiply
    203.22x = 280.31 × 159.48
  4. Step 4: Simplify right side
    203.22x = 44,703.04
  5. Step 5: Solve for x
    x = 44,703.04/203.22
  6. Step 6: Final answer
    x = 219.97

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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.