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Finding the Fourth Proportional to 274.40, 411.57 and 137.54

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Solution

The fourth proportional to 274.40, 411.57 and 137.54 is: 206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.40 : 411.57 = 137.54 : x
  2. Step 2: Convert to fraction form
    274.40/411.57 = 137.54/x
  3. Step 3: Cross multiply
    274.40x = 411.57 × 137.54
  4. Step 4: Simplify right side
    274.40x = 56,604.94
  5. Step 5: Solve for x
    x = 56,604.94/274.40
  6. Step 6: Final answer
    x = 206.29

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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.