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Finding the Fourth Proportional to 241.88, 363.22 and 188.14

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Solution

The fourth proportional to 241.88, 363.22 and 188.14 is: 282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.88 : 363.22 = 188.14 : x
  2. Step 2: Convert to fraction form
    241.88/363.22 = 188.14/x
  3. Step 3: Cross multiply
    241.88x = 363.22 × 188.14
  4. Step 4: Simplify right side
    241.88x = 68,336.21
  5. Step 5: Solve for x
    x = 68,336.21/241.88
  6. Step 6: Final answer
    x = 282.52

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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.