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Finding the Fourth Proportional to 250.41, 375.67 and 77.09

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Solution

The fourth proportional to 250.41, 375.67 and 77.09 is: 115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.41 : 375.67 = 77.09 : x
  2. Step 2: Convert to fraction form
    250.41/375.67 = 77.09/x
  3. Step 3: Cross multiply
    250.41x = 375.67 × 77.09
  4. Step 4: Simplify right side
    250.41x = 28,958.62
  5. Step 5: Solve for x
    x = 28,958.62/250.41
  6. Step 6: Final answer
    x = 115.65

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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.