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Finding the Fourth Proportional to 201.89, 278.68 and 119.02

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Solution

The fourth proportional to 201.89, 278.68 and 119.02 is: 164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.89 : 278.68 = 119.02 : x
  2. Step 2: Convert to fraction form
    201.89/278.68 = 119.02/x
  3. Step 3: Cross multiply
    201.89x = 278.68 × 119.02
  4. Step 4: Simplify right side
    201.89x = 33,167.90
  5. Step 5: Solve for x
    x = 33,167.90/201.89
  6. Step 6: Final answer
    x = 164.29

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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.