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Finding the Fourth Proportional to 274.86, 411.92 and 130.26

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Solution

The fourth proportional to 274.86, 411.92 and 130.26 is: 195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.86 : 411.92 = 130.26 : x
  2. Step 2: Convert to fraction form
    274.86/411.92 = 130.26/x
  3. Step 3: Cross multiply
    274.86x = 411.92 × 130.26
  4. Step 4: Simplify right side
    274.86x = 53,656.70
  5. Step 5: Solve for x
    x = 53,656.70/274.86
  6. Step 6: Final answer
    x = 195.21

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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.