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Finding the Fourth Proportional to 191.87, 287.55 and 105.23

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Solution

The fourth proportional to 191.87, 287.55 and 105.23 is: 157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.87 : 287.55 = 105.23 : x
  2. Step 2: Convert to fraction form
    191.87/287.55 = 105.23/x
  3. Step 3: Cross multiply
    191.87x = 287.55 × 105.23
  4. Step 4: Simplify right side
    191.87x = 30,259.61
  5. Step 5: Solve for x
    x = 30,259.61/191.87
  6. Step 6: Final answer
    x = 157.71

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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.