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Finding the Fourth Proportional to 185.33, 255.70 and 119.75

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Solution

The fourth proportional to 185.33, 255.70 and 119.75 is: 165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.33 : 255.70 = 119.75 : x
  2. Step 2: Convert to fraction form
    185.33/255.70 = 119.75/x
  3. Step 3: Cross multiply
    185.33x = 255.70 × 119.75
  4. Step 4: Simplify right side
    185.33x = 30,620.08
  5. Step 5: Solve for x
    x = 30,620.08/185.33
  6. Step 6: Final answer
    x = 165.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.