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Finding the Fourth Proportional to 274.75, 411.84 and 137.59

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Solution

The fourth proportional to 274.75, 411.84 and 137.59 is: 206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.75 : 411.84 = 137.59 : x
  2. Step 2: Convert to fraction form
    274.75/411.84 = 137.59/x
  3. Step 3: Cross multiply
    274.75x = 411.84 × 137.59
  4. Step 4: Simplify right side
    274.75x = 56,665.07
  5. Step 5: Solve for x
    x = 56,665.07/274.75
  6. Step 6: Final answer
    x = 206.24

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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.