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Finding the Fourth Proportional to 274.43, 411.72 and 112.22

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Solution

The fourth proportional to 274.43, 411.72 and 112.22 is: 168.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.43 : 411.72 = 112.22 : x
  2. Step 2: Convert to fraction form
    274.43/411.72 = 112.22/x
  3. Step 3: Cross multiply
    274.43x = 411.72 × 112.22
  4. Step 4: Simplify right side
    274.43x = 46,204.60
  5. Step 5: Solve for x
    x = 46,204.60/274.43
  6. Step 6: Final answer
    x = 168.37

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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.