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Finding the Fourth Proportional to 274.39, 411.48 and 111.98

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Solution

The fourth proportional to 274.39, 411.48 and 111.98 is: 167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.39 : 411.48 = 111.98 : x
  2. Step 2: Convert to fraction form
    274.39/411.48 = 111.98/x
  3. Step 3: Cross multiply
    274.39x = 411.48 × 111.98
  4. Step 4: Simplify right side
    274.39x = 46,078.56
  5. Step 5: Solve for x
    x = 46,078.56/274.39
  6. Step 6: Final answer
    x = 167.93

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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.