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Finding the Fourth Proportional to 241.19, 359.75 and 202.22

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Solution

The fourth proportional to 241.19, 359.75 and 202.22 is: 301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.19 : 359.75 = 202.22 : x
  2. Step 2: Convert to fraction form
    241.19/359.75 = 202.22/x
  3. Step 3: Cross multiply
    241.19x = 359.75 × 202.22
  4. Step 4: Simplify right side
    241.19x = 72,745.84
  5. Step 5: Solve for x
    x = 72,745.84/241.19
  6. Step 6: Final answer
    x = 301.62

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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.