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Finding the Fourth Proportional to 276.90, 382.14 and 160.44

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Solution

The fourth proportional to 276.90, 382.14 and 160.44 is: 221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.90 : 382.14 = 160.44 : x
  2. Step 2: Convert to fraction form
    276.90/382.14 = 160.44/x
  3. Step 3: Cross multiply
    276.90x = 382.14 × 160.44
  4. Step 4: Simplify right side
    276.90x = 61,310.54
  5. Step 5: Solve for x
    x = 61,310.54/276.90
  6. Step 6: Final answer
    x = 221.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.