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Finding the Fourth Proportional to 236.87, 326.06 and 205.34

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Solution

The fourth proportional to 236.87, 326.06 and 205.34 is: 282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.87 : 326.06 = 205.34 : x
  2. Step 2: Convert to fraction form
    236.87/326.06 = 205.34/x
  3. Step 3: Cross multiply
    236.87x = 326.06 × 205.34
  4. Step 4: Simplify right side
    236.87x = 66,953.16
  5. Step 5: Solve for x
    x = 66,953.16/236.87
  6. Step 6: Final answer
    x = 282.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.