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Finding the Fourth Proportional to 185.41, 278.11 and 77.22

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Solution

The fourth proportional to 185.41, 278.11 and 77.22 is: 115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.41 : 278.11 = 77.22 : x
  2. Step 2: Convert to fraction form
    185.41/278.11 = 77.22/x
  3. Step 3: Cross multiply
    185.41x = 278.11 × 77.22
  4. Step 4: Simplify right side
    185.41x = 21,475.65
  5. Step 5: Solve for x
    x = 21,475.65/185.41
  6. Step 6: Final answer
    x = 115.83

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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.