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Finding the Fourth Proportional to 272.02, 408.09 and 109.87

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Solution

The fourth proportional to 272.02, 408.09 and 109.87 is: 164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.02 : 408.09 = 109.87 : x
  2. Step 2: Convert to fraction form
    272.02/408.09 = 109.87/x
  3. Step 3: Cross multiply
    272.02x = 408.09 × 109.87
  4. Step 4: Simplify right side
    272.02x = 44,836.85
  5. Step 5: Solve for x
    x = 44,836.85/272.02
  6. Step 6: Final answer
    x = 164.83

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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.