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Finding the Fourth Proportional to 201.21, 302.40 and 167.19

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Solution

The fourth proportional to 201.21, 302.40 and 167.19 is: 251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.21 : 302.40 = 167.19 : x
  2. Step 2: Convert to fraction form
    201.21/302.40 = 167.19/x
  3. Step 3: Cross multiply
    201.21x = 302.40 × 167.19
  4. Step 4: Simplify right side
    201.21x = 50,558.26
  5. Step 5: Solve for x
    x = 50,558.26/201.21
  6. Step 6: Final answer
    x = 251.27

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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.