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Finding the Fourth Proportional to 272.78, 409.19 and 164.24

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Solution

The fourth proportional to 272.78, 409.19 and 164.24 is: 246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.78 : 409.19 = 164.24 : x
  2. Step 2: Convert to fraction form
    272.78/409.19 = 164.24/x
  3. Step 3: Cross multiply
    272.78x = 409.19 × 164.24
  4. Step 4: Simplify right side
    272.78x = 67,204.03
  5. Step 5: Solve for x
    x = 67,204.03/272.78
  6. Step 6: Final answer
    x = 246.37

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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.