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Finding the Fourth Proportional to 274.20, 411.04 and 111.79

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Solution

The fourth proportional to 274.20, 411.04 and 111.79 is: 167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.20 : 411.04 = 111.79 : x
  2. Step 2: Convert to fraction form
    274.20/411.04 = 111.79/x
  3. Step 3: Cross multiply
    274.20x = 411.04 × 111.79
  4. Step 4: Simplify right side
    274.20x = 45,950.16
  5. Step 5: Solve for x
    x = 45,950.16/274.20
  6. Step 6: Final answer
    x = 167.58

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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.