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Finding the Fourth Proportional to 201.41, 302.21 and 190.20

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Solution

The fourth proportional to 201.41, 302.21 and 190.20 is: 285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.41 : 302.21 = 190.20 : x
  2. Step 2: Convert to fraction form
    201.41/302.21 = 190.20/x
  3. Step 3: Cross multiply
    201.41x = 302.21 × 190.20
  4. Step 4: Simplify right side
    201.41x = 57,480.34
  5. Step 5: Solve for x
    x = 57,480.34/201.41
  6. Step 6: Final answer
    x = 285.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.