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Finding the Fourth Proportional to 276.72, 414.14 and 197.16

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Solution

The fourth proportional to 276.72, 414.14 and 197.16 is: 295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.72 : 414.14 = 197.16 : x
  2. Step 2: Convert to fraction form
    276.72/414.14 = 197.16/x
  3. Step 3: Cross multiply
    276.72x = 414.14 × 197.16
  4. Step 4: Simplify right side
    276.72x = 81,651.02
  5. Step 5: Solve for x
    x = 81,651.02/276.72
  6. Step 6: Final answer
    x = 295.07

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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.