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Finding the Fourth Proportional to 201.64, 302.66 and 136.43

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Solution

The fourth proportional to 201.64, 302.66 and 136.43 is: 204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.64 : 302.66 = 136.43 : x
  2. Step 2: Convert to fraction form
    201.64/302.66 = 136.43/x
  3. Step 3: Cross multiply
    201.64x = 302.66 × 136.43
  4. Step 4: Simplify right side
    201.64x = 41,291.22
  5. Step 5: Solve for x
    x = 41,291.22/201.64
  6. Step 6: Final answer
    x = 204.78

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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.