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Finding the Fourth Proportional to 238.93, 329.09 and 207.84

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Solution

The fourth proportional to 238.93, 329.09 and 207.84 is: 286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.93 : 329.09 = 207.84 : x
  2. Step 2: Convert to fraction form
    238.93/329.09 = 207.84/x
  3. Step 3: Cross multiply
    238.93x = 329.09 × 207.84
  4. Step 4: Simplify right side
    238.93x = 68,398.07
  5. Step 5: Solve for x
    x = 68,398.07/238.93
  6. Step 6: Final answer
    x = 286.27

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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.