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Finding the Fourth Proportional to 201.82, 302.61 and 119.56

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Solution

The fourth proportional to 201.82, 302.61 and 119.56 is: 179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.82 : 302.61 = 119.56 : x
  2. Step 2: Convert to fraction form
    201.82/302.61 = 119.56/x
  3. Step 3: Cross multiply
    201.82x = 302.61 × 119.56
  4. Step 4: Simplify right side
    201.82x = 36,181.25
  5. Step 5: Solve for x
    x = 36,181.25/201.82
  6. Step 6: Final answer
    x = 179.28

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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.