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Finding the Fourth Proportional to 276.93, 415.41 and 185.82

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Solution

The fourth proportional to 276.93, 415.41 and 185.82 is: 278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.93 : 415.41 = 185.82 : x
  2. Step 2: Convert to fraction form
    276.93/415.41 = 185.82/x
  3. Step 3: Cross multiply
    276.93x = 415.41 × 185.82
  4. Step 4: Simplify right side
    276.93x = 77,191.49
  5. Step 5: Solve for x
    x = 77,191.49/276.93
  6. Step 6: Final answer
    x = 278.74

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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.