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Finding the Fourth Proportional to 235.44, 353.84 and 197.16

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Solution

The fourth proportional to 235.44, 353.84 and 197.16 is: 296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.44 : 353.84 = 197.16 : x
  2. Step 2: Convert to fraction form
    235.44/353.84 = 197.16/x
  3. Step 3: Cross multiply
    235.44x = 353.84 × 197.16
  4. Step 4: Simplify right side
    235.44x = 69,763.09
  5. Step 5: Solve for x
    x = 69,763.09/235.44
  6. Step 6: Final answer
    x = 296.31

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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.