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Finding the Fourth Proportional to 193, 290.95 and 190.12

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Solution

The fourth proportional to 193, 290.95 and 190.12 is: 286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    193 : 290.95 = 190.12 : x
  2. Step 2: Convert to fraction form
    193/290.95 = 190.12/x
  3. Step 3: Cross multiply
    193x = 290.95 × 190.12
  4. Step 4: Simplify right side
    193x = 55,315.41
  5. Step 5: Solve for x
    x = 55,315.41/193
  6. Step 6: Final answer
    x = 286.61

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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.