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Finding the Fourth Proportional to 200.94, 301.37 and 115.44

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Solution

The fourth proportional to 200.94, 301.37 and 115.44 is: 173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.94 : 301.37 = 115.44 : x
  2. Step 2: Convert to fraction form
    200.94/301.37 = 115.44/x
  3. Step 3: Cross multiply
    200.94x = 301.37 × 115.44
  4. Step 4: Simplify right side
    200.94x = 34,789.58
  5. Step 5: Solve for x
    x = 34,789.58/200.94
  6. Step 6: Final answer
    x = 173.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.