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Finding the Fourth Proportional to 274.61, 379.02 and 169.85

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Solution

The fourth proportional to 274.61, 379.02 and 169.85 is: 234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.61 : 379.02 = 169.85 : x
  2. Step 2: Convert to fraction form
    274.61/379.02 = 169.85/x
  3. Step 3: Cross multiply
    274.61x = 379.02 × 169.85
  4. Step 4: Simplify right side
    274.61x = 64,374.65
  5. Step 5: Solve for x
    x = 64,374.65/274.61
  6. Step 6: Final answer
    x = 234.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.