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Finding the Fourth Proportional to 274.19, 411.09 and 137.14

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Solution

The fourth proportional to 274.19, 411.09 and 137.14 is: 205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.19 : 411.09 = 137.14 : x
  2. Step 2: Convert to fraction form
    274.19/411.09 = 137.14/x
  3. Step 3: Cross multiply
    274.19x = 411.09 × 137.14
  4. Step 4: Simplify right side
    274.19x = 56,376.11
  5. Step 5: Solve for x
    x = 56,376.11/274.19
  6. Step 6: Final answer
    x = 205.61

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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.