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Finding the Fourth Proportional to 241.88, 333.67 and 163.22

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Solution

The fourth proportional to 241.88, 333.67 and 163.22 is: 225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.88 : 333.67 = 163.22 : x
  2. Step 2: Convert to fraction form
    241.88/333.67 = 163.22/x
  3. Step 3: Cross multiply
    241.88x = 333.67 × 163.22
  4. Step 4: Simplify right side
    241.88x = 54,461.62
  5. Step 5: Solve for x
    x = 54,461.62/241.88
  6. Step 6: Final answer
    x = 225.16

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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.