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Finding the Fourth Proportional to 201.29, 302.04 and 114.68

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Solution

The fourth proportional to 201.29, 302.04 and 114.68 is: 172.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.29 : 302.04 = 114.68 : x
  2. Step 2: Convert to fraction form
    201.29/302.04 = 114.68/x
  3. Step 3: Cross multiply
    201.29x = 302.04 × 114.68
  4. Step 4: Simplify right side
    201.29x = 34,638.70
  5. Step 5: Solve for x
    x = 34,638.70/201.29
  6. Step 6: Final answer
    x = 172.09

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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.