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Finding the Fourth Proportional to 276.53, 381.09 and 206.46

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Solution

The fourth proportional to 276.53, 381.09 and 206.46 is: 284.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.53 : 381.09 = 206.46 : x
  2. Step 2: Convert to fraction form
    276.53/381.09 = 206.46/x
  3. Step 3: Cross multiply
    276.53x = 381.09 × 206.46
  4. Step 4: Simplify right side
    276.53x = 78,680.58
  5. Step 5: Solve for x
    x = 78,680.58/276.53
  6. Step 6: Final answer
    x = 284.53

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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.