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Finding the Fourth Proportional to 203.26, 280.52 and 115.94

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Solution

The fourth proportional to 203.26, 280.52 and 115.94 is: 160.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.26 : 280.52 = 115.94 : x
  2. Step 2: Convert to fraction form
    203.26/280.52 = 115.94/x
  3. Step 3: Cross multiply
    203.26x = 280.52 × 115.94
  4. Step 4: Simplify right side
    203.26x = 32,523.49
  5. Step 5: Solve for x
    x = 32,523.49/203.26
  6. Step 6: Final answer
    x = 160.01

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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.