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Finding the Fourth Proportional to 201.68, 301.14 and 167.12

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Solution

The fourth proportional to 201.68, 301.14 and 167.12 is: 249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.68 : 301.14 = 167.12 : x
  2. Step 2: Convert to fraction form
    201.68/301.14 = 167.12/x
  3. Step 3: Cross multiply
    201.68x = 301.14 × 167.12
  4. Step 4: Simplify right side
    201.68x = 50,326.52
  5. Step 5: Solve for x
    x = 50,326.52/201.68
  6. Step 6: Final answer
    x = 249.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.