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Finding the Fourth Proportional to 191.24, 286.97 and 110.24

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Solution

The fourth proportional to 191.24, 286.97 and 110.24 is: 165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.24 : 286.97 = 110.24 : x
  2. Step 2: Convert to fraction form
    191.24/286.97 = 110.24/x
  3. Step 3: Cross multiply
    191.24x = 286.97 × 110.24
  4. Step 4: Simplify right side
    191.24x = 31,634.41
  5. Step 5: Solve for x
    x = 31,634.41/191.24
  6. Step 6: Final answer
    x = 165.42

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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.