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Finding the Fourth Proportional to 185.21, 255.63 and 119.71

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Solution

The fourth proportional to 185.21, 255.63 and 119.71 is: 165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.21 : 255.63 = 119.71 : x
  2. Step 2: Convert to fraction form
    185.21/255.63 = 119.71/x
  3. Step 3: Cross multiply
    185.21x = 255.63 × 119.71
  4. Step 4: Simplify right side
    185.21x = 30,600.19
  5. Step 5: Solve for x
    x = 30,600.19/185.21
  6. Step 6: Final answer
    x = 165.22

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Why These Related Problems?

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