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Finding the Fourth Proportional to 200.09, 300.33 and 139.47

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Solution

The fourth proportional to 200.09, 300.33 and 139.47 is: 209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.09 : 300.33 = 139.47 : x
  2. Step 2: Convert to fraction form
    200.09/300.33 = 139.47/x
  3. Step 3: Cross multiply
    200.09x = 300.33 × 139.47
  4. Step 4: Simplify right side
    200.09x = 41,887.03
  5. Step 5: Solve for x
    x = 41,887.03/200.09
  6. Step 6: Final answer
    x = 209.34

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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.