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Finding the Fourth Proportional to 276.87, 415.43 and 122.84

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Solution

The fourth proportional to 276.87, 415.43 and 122.84 is: 184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.87 : 415.43 = 122.84 : x
  2. Step 2: Convert to fraction form
    276.87/415.43 = 122.84/x
  3. Step 3: Cross multiply
    276.87x = 415.43 × 122.84
  4. Step 4: Simplify right side
    276.87x = 51,031.42
  5. Step 5: Solve for x
    x = 51,031.42/276.87
  6. Step 6: Final answer
    x = 184.32

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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.