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Finding the Fourth Proportional to 272.10, 408.12 and 164.58

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Solution

The fourth proportional to 272.10, 408.12 and 164.58 is: 246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.10 : 408.12 = 164.58 : x
  2. Step 2: Convert to fraction form
    272.10/408.12 = 164.58/x
  3. Step 3: Cross multiply
    272.10x = 408.12 × 164.58
  4. Step 4: Simplify right side
    272.10x = 67,168.39
  5. Step 5: Solve for x
    x = 67,168.39/272.10
  6. Step 6: Final answer
    x = 246.85

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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.