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Finding the Fourth Proportional to 200.86, 301.41 and 109.61

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Solution

The fourth proportional to 200.86, 301.41 and 109.61 is: 164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.86 : 301.41 = 109.61 : x
  2. Step 2: Convert to fraction form
    200.86/301.41 = 109.61/x
  3. Step 3: Cross multiply
    200.86x = 301.41 × 109.61
  4. Step 4: Simplify right side
    200.86x = 33,037.55
  5. Step 5: Solve for x
    x = 33,037.55/200.86
  6. Step 6: Final answer
    x = 164.48

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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.