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Finding the Fourth Proportional to 274.62, 410.99 and 166.49

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Solution

The fourth proportional to 274.62, 410.99 and 166.49 is: 249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.62 : 410.99 = 166.49 : x
  2. Step 2: Convert to fraction form
    274.62/410.99 = 166.49/x
  3. Step 3: Cross multiply
    274.62x = 410.99 × 166.49
  4. Step 4: Simplify right side
    274.62x = 68,422.84
  5. Step 5: Solve for x
    x = 68,422.84/274.62
  6. Step 6: Final answer
    x = 249.15

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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.