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Finding the Fourth Proportional to 189.97, 285.17 and 136.11

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Solution

The fourth proportional to 189.97, 285.17 and 136.11 is: 204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.97 : 285.17 = 136.11 : x
  2. Step 2: Convert to fraction form
    189.97/285.17 = 136.11/x
  3. Step 3: Cross multiply
    189.97x = 285.17 × 136.11
  4. Step 4: Simplify right side
    189.97x = 38,812.38
  5. Step 5: Solve for x
    x = 38,812.38/189.97
  6. Step 6: Final answer
    x = 204.31

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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.