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Finding the Fourth Proportional to 201.52, 278.22 and 164.80

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Solution

The fourth proportional to 201.52, 278.22 and 164.80 is: 227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.52 : 278.22 = 164.80 : x
  2. Step 2: Convert to fraction form
    201.52/278.22 = 164.80/x
  3. Step 3: Cross multiply
    201.52x = 278.22 × 164.80
  4. Step 4: Simplify right side
    201.52x = 45,850.66
  5. Step 5: Solve for x
    x = 45,850.66/201.52
  6. Step 6: Final answer
    x = 227.52

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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.