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Finding the Fourth Proportional to 241.88, 362.26 and 233.78

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Solution

The fourth proportional to 241.88, 362.26 and 233.78 is: 350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.88 : 362.26 = 233.78 : x
  2. Step 2: Convert to fraction form
    241.88/362.26 = 233.78/x
  3. Step 3: Cross multiply
    241.88x = 362.26 × 233.78
  4. Step 4: Simplify right side
    241.88x = 84,689.14
  5. Step 5: Solve for x
    x = 84,689.14/241.88
  6. Step 6: Final answer
    x = 350.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.