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Finding the Fourth Proportional to 276.94, 415.46 and 122.83

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Solution

The fourth proportional to 276.94, 415.46 and 122.83 is: 184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.94 : 415.46 = 122.83 : x
  2. Step 2: Convert to fraction form
    276.94/415.46 = 122.83/x
  3. Step 3: Cross multiply
    276.94x = 415.46 × 122.83
  4. Step 4: Simplify right side
    276.94x = 51,030.95
  5. Step 5: Solve for x
    x = 51,030.95/276.94
  6. Step 6: Final answer
    x = 184.27

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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.