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Finding the Fourth Proportional to 272.06, 408.24 and 190.74

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Solution

The fourth proportional to 272.06, 408.24 and 190.74 is: 286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.06 : 408.24 = 190.74 : x
  2. Step 2: Convert to fraction form
    272.06/408.24 = 190.74/x
  3. Step 3: Cross multiply
    272.06x = 408.24 × 190.74
  4. Step 4: Simplify right side
    272.06x = 77,867.70
  5. Step 5: Solve for x
    x = 77,867.70/272.06
  6. Step 6: Final answer
    x = 286.22

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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.