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Finding the Fourth Proportional to 276.76, 415.09 and 137.80

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Solution

The fourth proportional to 276.76, 415.09 and 137.80 is: 206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.76 : 415.09 = 137.80 : x
  2. Step 2: Convert to fraction form
    276.76/415.09 = 137.80/x
  3. Step 3: Cross multiply
    276.76x = 415.09 × 137.80
  4. Step 4: Simplify right side
    276.76x = 57,199.40
  5. Step 5: Solve for x
    x = 57,199.40/276.76
  6. Step 6: Final answer
    x = 206.68

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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.