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Finding the Fourth Proportional to 241.25, 360.96 and 189.00

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Solution

The fourth proportional to 241.25, 360.96 and 189.00 is: 282.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.25 : 360.96 = 189.00 : x
  2. Step 2: Convert to fraction form
    241.25/360.96 = 189.00/x
  3. Step 3: Cross multiply
    241.25x = 360.96 × 189.00
  4. Step 4: Simplify right side
    241.25x = 68,222.54
  5. Step 5: Solve for x
    x = 68,222.54/241.25
  6. Step 6: Final answer
    x = 282.79

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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.