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Finding the Fourth Proportional to 236.83, 355.38 and 198.22

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Solution

The fourth proportional to 236.83, 355.38 and 198.22 is: 297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.83 : 355.38 = 198.22 : x
  2. Step 2: Convert to fraction form
    236.83/355.38 = 198.22/x
  3. Step 3: Cross multiply
    236.83x = 355.38 × 198.22
  4. Step 4: Simplify right side
    236.83x = 70,443.42
  5. Step 5: Solve for x
    x = 70,443.42/236.83
  6. Step 6: Final answer
    x = 297.44

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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.