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Finding the Fourth Proportional to 201.02, 301.62 and 92.78

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Solution

The fourth proportional to 201.02, 301.62 and 92.78 is: 139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.02 : 301.62 = 92.78 : x
  2. Step 2: Convert to fraction form
    201.02/301.62 = 92.78/x
  3. Step 3: Cross multiply
    201.02x = 301.62 × 92.78
  4. Step 4: Simplify right side
    201.02x = 27,984.30
  5. Step 5: Solve for x
    x = 27,984.30/201.02
  6. Step 6: Final answer
    x = 139.21

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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.