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Finding the Fourth Proportional to 185.17, 255.63 and 119.71

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Solution

The fourth proportional to 185.17, 255.63 and 119.71 is: 165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.17 : 255.63 = 119.71 : x
  2. Step 2: Convert to fraction form
    185.17/255.63 = 119.71/x
  3. Step 3: Cross multiply
    185.17x = 255.63 × 119.71
  4. Step 4: Simplify right side
    185.17x = 30,602.09
  5. Step 5: Solve for x
    x = 30,602.09/185.17
  6. Step 6: Final answer
    x = 165.26

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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.