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Finding the Fourth Proportional to 185.07, 277.78 and 119.83

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Solution

The fourth proportional to 185.07, 277.78 and 119.83 is: 179.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.07 : 277.78 = 119.83 : x
  2. Step 2: Convert to fraction form
    185.07/277.78 = 119.83/x
  3. Step 3: Cross multiply
    185.07x = 277.78 × 119.83
  4. Step 4: Simplify right side
    185.07x = 33,286.13
  5. Step 5: Solve for x
    x = 33,286.13/185.07
  6. Step 6: Final answer
    x = 179.86

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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.