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Finding the Fourth Proportional to 276.30, 414.45 and 166.95

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Solution

The fourth proportional to 276.30, 414.45 and 166.95 is: 250.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.30 : 414.45 = 166.95 : x
  2. Step 2: Convert to fraction form
    276.30/414.45 = 166.95/x
  3. Step 3: Cross multiply
    276.30x = 414.45 × 166.95
  4. Step 4: Simplify right side
    276.30x = 69,192.43
  5. Step 5: Solve for x
    x = 69,192.43/276.30
  6. Step 6: Final answer
    x = 250.43

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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.