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Finding the Fourth Proportional to 241.28, 363.60 and 205.68

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Solution

The fourth proportional to 241.28, 363.60 and 205.68 is: 309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.28 : 363.60 = 205.68 : x
  2. Step 2: Convert to fraction form
    241.28/363.60 = 205.68/x
  3. Step 3: Cross multiply
    241.28x = 363.60 × 205.68
  4. Step 4: Simplify right side
    241.28x = 74,785.25
  5. Step 5: Solve for x
    x = 74,785.25/241.28
  6. Step 6: Final answer
    x = 309.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.