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Finding the Fourth Proportional to 191.63, 287.23 and 104.86

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Solution

The fourth proportional to 191.63, 287.23 and 104.86 is: 157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.63 : 287.23 = 104.86 : x
  2. Step 2: Convert to fraction form
    191.63/287.23 = 104.86/x
  3. Step 3: Cross multiply
    191.63x = 287.23 × 104.86
  4. Step 4: Simplify right side
    191.63x = 30,118.94
  5. Step 5: Solve for x
    x = 30,118.94/191.63
  6. Step 6: Final answer
    x = 157.17

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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.