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Finding the Fourth Proportional to 274.86, 411.27 and 164.78

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Solution

The fourth proportional to 274.86, 411.27 and 164.78 is: 246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.86 : 411.27 = 164.78 : x
  2. Step 2: Convert to fraction form
    274.86/411.27 = 164.78/x
  3. Step 3: Cross multiply
    274.86x = 411.27 × 164.78
  4. Step 4: Simplify right side
    274.86x = 67,767.01
  5. Step 5: Solve for x
    x = 67,767.01/274.86
  6. Step 6: Final answer
    x = 246.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.