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Finding the Fourth Proportional to 274.26, 411.21 and 178.14

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Solution

The fourth proportional to 274.26, 411.21 and 178.14 is: 267.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.26 : 411.21 = 178.14 : x
  2. Step 2: Convert to fraction form
    274.26/411.21 = 178.14/x
  3. Step 3: Cross multiply
    274.26x = 411.21 × 178.14
  4. Step 4: Simplify right side
    274.26x = 73,252.95
  5. Step 5: Solve for x
    x = 73,252.95/274.26
  6. Step 6: Final answer
    x = 267.09

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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.