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Finding the Fourth Proportional to 241.13, 361.86 and 96.84

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Solution

The fourth proportional to 241.13, 361.86 and 96.84 is: 145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.13 : 361.86 = 96.84 : x
  2. Step 2: Convert to fraction form
    241.13/361.86 = 96.84/x
  3. Step 3: Cross multiply
    241.13x = 361.86 × 96.84
  4. Step 4: Simplify right side
    241.13x = 35,042.52
  5. Step 5: Solve for x
    x = 35,042.52/241.13
  6. Step 6: Final answer
    x = 145.33

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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.