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Finding the Fourth Proportional to 241.05, 361.58 and 160.26

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Solution

The fourth proportional to 241.05, 361.58 and 160.26 is: 240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.05 : 361.58 = 160.26 : x
  2. Step 2: Convert to fraction form
    241.05/361.58 = 160.26/x
  3. Step 3: Cross multiply
    241.05x = 361.58 × 160.26
  4. Step 4: Simplify right side
    241.05x = 57,946.01
  5. Step 5: Solve for x
    x = 57,946.01/241.05
  6. Step 6: Final answer
    x = 240.39

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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.