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Finding the Fourth Proportional to 275.75, 414.26 and 166.35

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Solution

The fourth proportional to 275.75, 414.26 and 166.35 is: 249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.75 : 414.26 = 166.35 : x
  2. Step 2: Convert to fraction form
    275.75/414.26 = 166.35/x
  3. Step 3: Cross multiply
    275.75x = 414.26 × 166.35
  4. Step 4: Simplify right side
    275.75x = 68,914.43
  5. Step 5: Solve for x
    x = 68,914.43/275.75
  6. Step 6: Final answer
    x = 249.91

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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.