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Finding the Fourth Proportional to 276.68, 414.71 and 122.59

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Solution

The fourth proportional to 276.68, 414.71 and 122.59 is: 183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.68 : 414.71 = 122.59 : x
  2. Step 2: Convert to fraction form
    276.68/414.71 = 122.59/x
  3. Step 3: Cross multiply
    276.68x = 414.71 × 122.59
  4. Step 4: Simplify right side
    276.68x = 50,838.84
  5. Step 5: Solve for x
    x = 50,838.84/276.68
  6. Step 6: Final answer
    x = 183.74

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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.