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Finding the Fourth Proportional to 276.46, 381.34 and 210.84

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Solution

The fourth proportional to 276.46, 381.34 and 210.84 is: 290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.46 : 381.34 = 210.84 : x
  2. Step 2: Convert to fraction form
    276.46/381.34 = 210.84/x
  3. Step 3: Cross multiply
    276.46x = 381.34 × 210.84
  4. Step 4: Simplify right side
    276.46x = 80,401.73
  5. Step 5: Solve for x
    x = 80,401.73/276.46
  6. Step 6: Final answer
    x = 290.83

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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.