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Finding the Fourth Proportional to 274.15, 411.23 and 111.83

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Solution

The fourth proportional to 274.15, 411.23 and 111.83 is: 167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.15 : 411.23 = 111.83 : x
  2. Step 2: Convert to fraction form
    274.15/411.23 = 111.83/x
  3. Step 3: Cross multiply
    274.15x = 411.23 × 111.83
  4. Step 4: Simplify right side
    274.15x = 45,987.85
  5. Step 5: Solve for x
    x = 45,987.85/274.15
  6. Step 6: Final answer
    x = 167.75

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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.