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Finding the Fourth Proportional to 201.70, 302.21 and 169.43

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Solution

The fourth proportional to 201.70, 302.21 and 169.43 is: 253.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.70 : 302.21 = 169.43 : x
  2. Step 2: Convert to fraction form
    201.70/302.21 = 169.43/x
  3. Step 3: Cross multiply
    201.70x = 302.21 × 169.43
  4. Step 4: Simplify right side
    201.70x = 51,203.44
  5. Step 5: Solve for x
    x = 51,203.44/201.70
  6. Step 6: Final answer
    x = 253.86

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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.