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Finding the Fourth Proportional to 200.08, 300.11 and 78.31

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Solution

The fourth proportional to 200.08, 300.11 and 78.31 is: 117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.08 : 300.11 = 78.31 : x
  2. Step 2: Convert to fraction form
    200.08/300.11 = 78.31/x
  3. Step 3: Cross multiply
    200.08x = 300.11 × 78.31
  4. Step 4: Simplify right side
    200.08x = 23,502.13
  5. Step 5: Solve for x
    x = 23,502.13/200.08
  6. Step 6: Final answer
    x = 117.47

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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.