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Finding the Fourth Proportional to 276.56, 414.38 and 195.26

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Solution

The fourth proportional to 276.56, 414.38 and 195.26 is: 292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.56 : 414.38 = 195.26 : x
  2. Step 2: Convert to fraction form
    276.56/414.38 = 195.26/x
  3. Step 3: Cross multiply
    276.56x = 414.38 × 195.26
  4. Step 4: Simplify right side
    276.56x = 80,911.84
  5. Step 5: Solve for x
    x = 80,911.84/276.56
  6. Step 6: Final answer
    x = 292.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.