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Finding the Fourth Proportional to 201.06, 301.41 and 98.30

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Solution

The fourth proportional to 201.06, 301.41 and 98.30 is: 147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.06 : 301.41 = 98.30 : x
  2. Step 2: Convert to fraction form
    201.06/301.41 = 98.30/x
  3. Step 3: Cross multiply
    201.06x = 301.41 × 98.30
  4. Step 4: Simplify right side
    201.06x = 29,627.10
  5. Step 5: Solve for x
    x = 29,627.10/201.06
  6. Step 6: Final answer
    x = 147.35

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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.