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Finding the Fourth Proportional to 276.90, 381.97 and 206.99

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Solution

The fourth proportional to 276.90, 381.97 and 206.99 is: 285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.90 : 381.97 = 206.99 : x
  2. Step 2: Convert to fraction form
    276.90/381.97 = 206.99/x
  3. Step 3: Cross multiply
    276.90x = 381.97 × 206.99
  4. Step 4: Simplify right side
    276.90x = 79,062.59
  5. Step 5: Solve for x
    x = 79,062.59/276.90
  6. Step 6: Final answer
    x = 285.53

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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.