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Finding the Fourth Proportional to 236.06, 352.08 and 205.38

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Solution

The fourth proportional to 236.06, 352.08 and 205.38 is: 306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.06 : 352.08 = 205.38 : x
  2. Step 2: Convert to fraction form
    236.06/352.08 = 205.38/x
  3. Step 3: Cross multiply
    236.06x = 352.08 × 205.38
  4. Step 4: Simplify right side
    236.06x = 72,310.19
  5. Step 5: Solve for x
    x = 72,310.19/236.06
  6. Step 6: Final answer
    x = 306.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.