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Finding the Fourth Proportional to 276.82, 415.13 and 122.67

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Solution

The fourth proportional to 276.82, 415.13 and 122.67 is: 183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.82 : 415.13 = 122.67 : x
  2. Step 2: Convert to fraction form
    276.82/415.13 = 122.67/x
  3. Step 3: Cross multiply
    276.82x = 415.13 × 122.67
  4. Step 4: Simplify right side
    276.82x = 50,924.00
  5. Step 5: Solve for x
    x = 50,924.00/276.82
  6. Step 6: Final answer
    x = 183.96

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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.