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Finding the Fourth Proportional to 272.16, 408.34 and 109.76

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Solution

The fourth proportional to 272.16, 408.34 and 109.76 is: 164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.16 : 408.34 = 109.76 : x
  2. Step 2: Convert to fraction form
    272.16/408.34 = 109.76/x
  3. Step 3: Cross multiply
    272.16x = 408.34 × 109.76
  4. Step 4: Simplify right side
    272.16x = 44,819.40
  5. Step 5: Solve for x
    x = 44,819.40/272.16
  6. Step 6: Final answer
    x = 164.68

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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.