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Finding the Fourth Proportional to 241.38, 361.26 and 180.36

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Solution

The fourth proportional to 241.38, 361.26 and 180.36 is: 269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.38 : 361.26 = 180.36 : x
  2. Step 2: Convert to fraction form
    241.38/361.26 = 180.36/x
  3. Step 3: Cross multiply
    241.38x = 361.26 × 180.36
  4. Step 4: Simplify right side
    241.38x = 65,156.85
  5. Step 5: Solve for x
    x = 65,156.85/241.38
  6. Step 6: Final answer
    x = 269.93

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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.