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Finding the Fourth Proportional to 276.38, 381.70 and 213.60

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Solution

The fourth proportional to 276.38, 381.70 and 213.60 is: 295.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.38 : 381.70 = 213.60 : x
  2. Step 2: Convert to fraction form
    276.38/381.70 = 213.60/x
  3. Step 3: Cross multiply
    276.38x = 381.70 × 213.60
  4. Step 4: Simplify right side
    276.38x = 81,531.12
  5. Step 5: Solve for x
    x = 81,531.12/276.38
  6. Step 6: Final answer
    x = 295.00

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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.