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Finding the Fourth Proportional to 241.60, 333.20 and 163.84

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Solution

The fourth proportional to 241.60, 333.20 and 163.84 is: 225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.60 : 333.20 = 163.84 : x
  2. Step 2: Convert to fraction form
    241.60/333.20 = 163.84/x
  3. Step 3: Cross multiply
    241.60x = 333.20 × 163.84
  4. Step 4: Simplify right side
    241.60x = 54,591.49
  5. Step 5: Solve for x
    x = 54,591.49/241.60
  6. Step 6: Final answer
    x = 225.96

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Why These Related Problems?

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