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Finding the Fourth Proportional to 190.83, 286.29 and 109.71

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Solution

The fourth proportional to 190.83, 286.29 and 109.71 is: 164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.83 : 286.29 = 109.71 : x
  2. Step 2: Convert to fraction form
    190.83/286.29 = 109.71/x
  3. Step 3: Cross multiply
    190.83x = 286.29 × 109.71
  4. Step 4: Simplify right side
    190.83x = 31,408.88
  5. Step 5: Solve for x
    x = 31,408.88/190.83
  6. Step 6: Final answer
    x = 164.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.