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Finding the Fourth Proportional to 241.96, 361.30 and 192.66

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Solution

The fourth proportional to 241.96, 361.30 and 192.66 is: 287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.96 : 361.30 = 192.66 : x
  2. Step 2: Convert to fraction form
    241.96/361.30 = 192.66/x
  3. Step 3: Cross multiply
    241.96x = 361.30 × 192.66
  4. Step 4: Simplify right side
    241.96x = 69,608.06
  5. Step 5: Solve for x
    x = 69,608.06/241.96
  6. Step 6: Final answer
    x = 287.68

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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.