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Finding the Fourth Proportional to 201.44, 278.12 and 164.68

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Solution

The fourth proportional to 201.44, 278.12 and 164.68 is: 227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.44 : 278.12 = 164.68 : x
  2. Step 2: Convert to fraction form
    201.44/278.12 = 164.68/x
  3. Step 3: Cross multiply
    201.44x = 278.12 × 164.68
  4. Step 4: Simplify right side
    201.44x = 45,800.80
  5. Step 5: Solve for x
    x = 45,800.80/201.44
  6. Step 6: Final answer
    x = 227.37

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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.