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Finding the Fourth Proportional to 201.41, 302.11 and 98.62

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Solution

The fourth proportional to 201.41, 302.11 and 98.62 is: 147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.41 : 302.11 = 98.62 : x
  2. Step 2: Convert to fraction form
    201.41/302.11 = 98.62/x
  3. Step 3: Cross multiply
    201.41x = 302.11 × 98.62
  4. Step 4: Simplify right side
    201.41x = 29,792.08
  5. Step 5: Solve for x
    x = 29,792.08/201.41
  6. Step 6: Final answer
    x = 147.92

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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.