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Finding the Fourth Proportional to 276.87, 414.79 and 139.59

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Solution

The fourth proportional to 276.87, 414.79 and 139.59 is: 209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.87 : 414.79 = 139.59 : x
  2. Step 2: Convert to fraction form
    276.87/414.79 = 139.59/x
  3. Step 3: Cross multiply
    276.87x = 414.79 × 139.59
  4. Step 4: Simplify right side
    276.87x = 57,898.46
  5. Step 5: Solve for x
    x = 57,898.46/276.87
  6. Step 6: Final answer
    x = 209.12

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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.