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Finding the Fourth Proportional to 201.30, 301.97 and 57.03

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Solution

The fourth proportional to 201.30, 301.97 and 57.03 is: 85.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.30 : 301.97 = 57.03 : x
  2. Step 2: Convert to fraction form
    201.30/301.97 = 57.03/x
  3. Step 3: Cross multiply
    201.30x = 301.97 × 57.03
  4. Step 4: Simplify right side
    201.30x = 17,221.06
  5. Step 5: Solve for x
    x = 17,221.06/201.30
  6. Step 6: Final answer
    x = 85.55

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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.