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Finding the Fourth Proportional to 276.02, 414.10 and 195.02

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Solution

The fourth proportional to 276.02, 414.10 and 195.02 is: 292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.02 : 414.10 = 195.02 : x
  2. Step 2: Convert to fraction form
    276.02/414.10 = 195.02/x
  3. Step 3: Cross multiply
    276.02x = 414.10 × 195.02
  4. Step 4: Simplify right side
    276.02x = 80,757.78
  5. Step 5: Solve for x
    x = 80,757.78/276.02
  6. Step 6: Final answer
    x = 292.58

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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.