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Finding the Fourth Proportional to 191.69, 286.91 and 100.26

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Solution

The fourth proportional to 191.69, 286.91 and 100.26 is: 150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.69 : 286.91 = 100.26 : x
  2. Step 2: Convert to fraction form
    191.69/286.91 = 100.26/x
  3. Step 3: Cross multiply
    191.69x = 286.91 × 100.26
  4. Step 4: Simplify right side
    191.69x = 28,765.60
  5. Step 5: Solve for x
    x = 28,765.60/191.69
  6. Step 6: Final answer
    x = 150.06

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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.