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Finding the Fourth Proportional to 201.16, 301.29 and 119.80

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Solution

The fourth proportional to 201.16, 301.29 and 119.80 is: 179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.16 : 301.29 = 119.80 : x
  2. Step 2: Convert to fraction form
    201.16/301.29 = 119.80/x
  3. Step 3: Cross multiply
    201.16x = 301.29 × 119.80
  4. Step 4: Simplify right side
    201.16x = 36,094.54
  5. Step 5: Solve for x
    x = 36,094.54/201.16
  6. Step 6: Final answer
    x = 179.43

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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.