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Finding the Fourth Proportional to 276.19, 414.27 and 70.75

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Solution

The fourth proportional to 276.19, 414.27 and 70.75 is: 106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.19 : 414.27 = 70.75 : x
  2. Step 2: Convert to fraction form
    276.19/414.27 = 70.75/x
  3. Step 3: Cross multiply
    276.19x = 414.27 × 70.75
  4. Step 4: Simplify right side
    276.19x = 29,309.60
  5. Step 5: Solve for x
    x = 29,309.60/276.19
  6. Step 6: Final answer
    x = 106.12

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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.