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Finding the Fourth Proportional to 201.63, 302.57 and 93.44

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Solution

The fourth proportional to 201.63, 302.57 and 93.44 is: 140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.63 : 302.57 = 93.44 : x
  2. Step 2: Convert to fraction form
    201.63/302.57 = 93.44/x
  3. Step 3: Cross multiply
    201.63x = 302.57 × 93.44
  4. Step 4: Simplify right side
    201.63x = 28,270.16
  5. Step 5: Solve for x
    x = 28,270.16/201.63
  6. Step 6: Final answer
    x = 140.21

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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.