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Finding the Fourth Proportional to 276.52, 416.26 and 195.92

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Solution

The fourth proportional to 276.52, 416.26 and 195.92 is: 294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.52 : 416.26 = 195.92 : x
  2. Step 2: Convert to fraction form
    276.52/416.26 = 195.92/x
  3. Step 3: Cross multiply
    276.52x = 416.26 × 195.92
  4. Step 4: Simplify right side
    276.52x = 81,553.66
  5. Step 5: Solve for x
    x = 81,553.66/276.52
  6. Step 6: Final answer
    x = 294.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.