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Finding the Fourth Proportional to 241.60, 363.20 and 222.40

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Solution

The fourth proportional to 241.60, 363.20 and 222.40 is: 334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.60 : 363.20 = 222.40 : x
  2. Step 2: Convert to fraction form
    241.60/363.20 = 222.40/x
  3. Step 3: Cross multiply
    241.60x = 363.20 × 222.40
  4. Step 4: Simplify right side
    241.60x = 80,775.68
  5. Step 5: Solve for x
    x = 80,775.68/241.60
  6. Step 6: Final answer
    x = 334.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.