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Finding the Fourth Proportional to 190.86, 286.58 and 119.17

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Solution

The fourth proportional to 190.86, 286.58 and 119.17 is: 178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.86 : 286.58 = 119.17 : x
  2. Step 2: Convert to fraction form
    190.86/286.58 = 119.17/x
  3. Step 3: Cross multiply
    190.86x = 286.58 × 119.17
  4. Step 4: Simplify right side
    190.86x = 34,151.74
  5. Step 5: Solve for x
    x = 34,151.74/190.86
  6. Step 6: Final answer
    x = 178.94

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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.