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Finding the Fourth Proportional to 274.42, 411.27 and 129.84

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Solution

The fourth proportional to 274.42, 411.27 and 129.84 is: 194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.42 : 411.27 = 129.84 : x
  2. Step 2: Convert to fraction form
    274.42/411.27 = 129.84/x
  3. Step 3: Cross multiply
    274.42x = 411.27 × 129.84
  4. Step 4: Simplify right side
    274.42x = 53,399.30
  5. Step 5: Solve for x
    x = 53,399.30/274.42
  6. Step 6: Final answer
    x = 194.59

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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.