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Finding the Fourth Proportional to 274.32, 411.42 and 166.78

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Solution

The fourth proportional to 274.32, 411.42 and 166.78 is: 250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.32 : 411.42 = 166.78 : x
  2. Step 2: Convert to fraction form
    274.32/411.42 = 166.78/x
  3. Step 3: Cross multiply
    274.32x = 411.42 × 166.78
  4. Step 4: Simplify right side
    274.32x = 68,616.63
  5. Step 5: Solve for x
    x = 68,616.63/274.32
  6. Step 6: Final answer
    x = 250.13

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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.