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Finding the Fourth Proportional to 241.53, 361.81 and 200.51

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Solution

The fourth proportional to 241.53, 361.81 and 200.51 is: 300.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.53 : 361.81 = 200.51 : x
  2. Step 2: Convert to fraction form
    241.53/361.81 = 200.51/x
  3. Step 3: Cross multiply
    241.53x = 361.81 × 200.51
  4. Step 4: Simplify right side
    241.53x = 72,546.52
  5. Step 5: Solve for x
    x = 72,546.52/241.53
  6. Step 6: Final answer
    x = 300.36

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Why These Related Problems?

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