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Finding the Fourth Proportional to 200.06, 300.30 and 108.94

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Solution

The fourth proportional to 200.06, 300.30 and 108.94 is: 163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.06 : 300.30 = 108.94 : x
  2. Step 2: Convert to fraction form
    200.06/300.30 = 108.94/x
  3. Step 3: Cross multiply
    200.06x = 300.30 × 108.94
  4. Step 4: Simplify right side
    200.06x = 32,714.68
  5. Step 5: Solve for x
    x = 32,714.68/200.06
  6. Step 6: Final answer
    x = 163.52

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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.