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Finding the Fourth Proportional to 233.78, 350.24 and 197.23

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Solution

The fourth proportional to 233.78, 350.24 and 197.23 is: 295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.78 : 350.24 = 197.23 : x
  2. Step 2: Convert to fraction form
    233.78/350.24 = 197.23/x
  3. Step 3: Cross multiply
    233.78x = 350.24 × 197.23
  4. Step 4: Simplify right side
    233.78x = 69,075.97
  5. Step 5: Solve for x
    x = 69,075.97/233.78
  6. Step 6: Final answer
    x = 295.48

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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.