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Finding the Fourth Proportional to 241.35, 361.62 and 195.72

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Solution

The fourth proportional to 241.35, 361.62 and 195.72 is: 293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.35 : 361.62 = 195.72 : x
  2. Step 2: Convert to fraction form
    241.35/361.62 = 195.72/x
  3. Step 3: Cross multiply
    241.35x = 361.62 × 195.72
  4. Step 4: Simplify right side
    241.35x = 70,776.27
  5. Step 5: Solve for x
    x = 70,776.27/241.35
  6. Step 6: Final answer
    x = 293.25

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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.