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Finding the Fourth Proportional to 239.20, 357.84 and 196

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Solution

The fourth proportional to 239.20, 357.84 and 196 is: 293.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.20 : 357.84 = 196 : x
  2. Step 2: Convert to fraction form
    239.20/357.84 = 196/x
  3. Step 3: Cross multiply
    239.20x = 357.84 × 196
  4. Step 4: Simplify right side
    239.20x = 70,136.64
  5. Step 5: Solve for x
    x = 70,136.64/239.20
  6. Step 6: Final answer
    x = 293.21

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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.