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Finding the Fourth Proportional to 203.25, 280.49 and 115.91

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Solution

The fourth proportional to 203.25, 280.49 and 115.91 is: 159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.25 : 280.49 = 115.91 : x
  2. Step 2: Convert to fraction form
    203.25/280.49 = 115.91/x
  3. Step 3: Cross multiply
    203.25x = 280.49 × 115.91
  4. Step 4: Simplify right side
    203.25x = 32,511.60
  5. Step 5: Solve for x
    x = 32,511.60/203.25
  6. Step 6: Final answer
    x = 159.96

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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.