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Finding the Fourth Proportional to 241.65, 364.37 and 238.61

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Solution

The fourth proportional to 241.65, 364.37 and 238.61 is: 359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.65 : 364.37 = 238.61 : x
  2. Step 2: Convert to fraction form
    241.65/364.37 = 238.61/x
  3. Step 3: Cross multiply
    241.65x = 364.37 × 238.61
  4. Step 4: Simplify right side
    241.65x = 86,942.04
  5. Step 5: Solve for x
    x = 86,942.04/241.65
  6. Step 6: Final answer
    x = 359.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.