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Finding the Fourth Proportional to 272.25, 408.39 and 109.83

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Solution

The fourth proportional to 272.25, 408.39 and 109.83 is: 164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.25 : 408.39 = 109.83 : x
  2. Step 2: Convert to fraction form
    272.25/408.39 = 109.83/x
  3. Step 3: Cross multiply
    272.25x = 408.39 × 109.83
  4. Step 4: Simplify right side
    272.25x = 44,853.47
  5. Step 5: Solve for x
    x = 44,853.47/272.25
  6. Step 6: Final answer
    x = 164.75

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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.