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Finding the Fourth Proportional to 201.89, 301.06 and 197.03

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Solution

The fourth proportional to 201.89, 301.06 and 197.03 is: 293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.89 : 301.06 = 197.03 : x
  2. Step 2: Convert to fraction form
    201.89/301.06 = 197.03/x
  3. Step 3: Cross multiply
    201.89x = 301.06 × 197.03
  4. Step 4: Simplify right side
    201.89x = 59,317.85
  5. Step 5: Solve for x
    x = 59,317.85/201.89
  6. Step 6: Final answer
    x = 293.81

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