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Finding the Fourth Proportional to 247.05, 369.77 and 185.96

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Solution

The fourth proportional to 247.05, 369.77 and 185.96 is: 278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.05 : 369.77 = 185.96 : x
  2. Step 2: Convert to fraction form
    247.05/369.77 = 185.96/x
  3. Step 3: Cross multiply
    247.05x = 369.77 × 185.96
  4. Step 4: Simplify right side
    247.05x = 68,762.42
  5. Step 5: Solve for x
    x = 68,762.42/247.05
  6. Step 6: Final answer
    x = 278.33

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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.