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Finding the Fourth Proportional to 201.09, 301.52 and 98.34

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Solution

The fourth proportional to 201.09, 301.52 and 98.34 is: 147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.09 : 301.52 = 98.34 : x
  2. Step 2: Convert to fraction form
    201.09/301.52 = 98.34/x
  3. Step 3: Cross multiply
    201.09x = 301.52 × 98.34
  4. Step 4: Simplify right side
    201.09x = 29,650.99
  5. Step 5: Solve for x
    x = 29,650.99/201.09
  6. Step 6: Final answer
    x = 147.45

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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.