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Finding the Fourth Proportional to 190.67, 287.12 and 136.94

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Solution

The fourth proportional to 190.67, 287.12 and 136.94 is: 206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.67 : 287.12 = 136.94 : x
  2. Step 2: Convert to fraction form
    190.67/287.12 = 136.94/x
  3. Step 3: Cross multiply
    190.67x = 287.12 × 136.94
  4. Step 4: Simplify right side
    190.67x = 39,318.21
  5. Step 5: Solve for x
    x = 39,318.21/190.67
  6. Step 6: Final answer
    x = 206.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.