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Finding the Fourth Proportional to 241.22, 360.34 and 193.18

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Solution

The fourth proportional to 241.22, 360.34 and 193.18 is: 288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.22 : 360.34 = 193.18 : x
  2. Step 2: Convert to fraction form
    241.22/360.34 = 193.18/x
  3. Step 3: Cross multiply
    241.22x = 360.34 × 193.18
  4. Step 4: Simplify right side
    241.22x = 69,610.48
  5. Step 5: Solve for x
    x = 69,610.48/241.22
  6. Step 6: Final answer
    x = 288.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.