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Finding the Fourth Proportional to 276.75, 415 and 122.57

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Solution

The fourth proportional to 276.75, 415 and 122.57 is: 183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.75 : 415 = 122.57 : x
  2. Step 2: Convert to fraction form
    276.75/415 = 122.57/x
  3. Step 3: Cross multiply
    276.75x = 415 × 122.57
  4. Step 4: Simplify right side
    276.75x = 50,864.48
  5. Step 5: Solve for x
    x = 50,864.48/276.75
  6. Step 6: Final answer
    x = 183.80

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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.