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Finding the Fourth Proportional to 241.10, 361.89 and 213.85

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Solution

The fourth proportional to 241.10, 361.89 and 213.85 is: 320.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.10 : 361.89 = 213.85 : x
  2. Step 2: Convert to fraction form
    241.10/361.89 = 213.85/x
  3. Step 3: Cross multiply
    241.10x = 361.89 × 213.85
  4. Step 4: Simplify right side
    241.10x = 77,388.37
  5. Step 5: Solve for x
    x = 77,388.37/241.10
  6. Step 6: Final answer
    x = 320.99

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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.