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Finding the Fourth Proportional to 200.19, 300.15 and 108.81

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Solution

The fourth proportional to 200.19, 300.15 and 108.81 is: 163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.19 : 300.15 = 108.81 : x
  2. Step 2: Convert to fraction form
    200.19/300.15 = 108.81/x
  3. Step 3: Cross multiply
    200.19x = 300.15 × 108.81
  4. Step 4: Simplify right side
    200.19x = 32,659.32
  5. Step 5: Solve for x
    x = 32,659.32/200.19
  6. Step 6: Final answer
    x = 163.14

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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.