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Finding the Fourth Proportional to 274.22, 411.24 and 177.92

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Solution

The fourth proportional to 274.22, 411.24 and 177.92 is: 266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.22 : 411.24 = 177.92 : x
  2. Step 2: Convert to fraction form
    274.22/411.24 = 177.92/x
  3. Step 3: Cross multiply
    274.22x = 411.24 × 177.92
  4. Step 4: Simplify right side
    274.22x = 73,167.82
  5. Step 5: Solve for x
    x = 73,167.82/274.22
  6. Step 6: Final answer
    x = 266.82

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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.