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Finding the Fourth Proportional to 196.80, 270.72 and 195.84

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Solution

The fourth proportional to 196.80, 270.72 and 195.84 is: 269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.80 : 270.72 = 195.84 : x
  2. Step 2: Convert to fraction form
    196.80/270.72 = 195.84/x
  3. Step 3: Cross multiply
    196.80x = 270.72 × 195.84
  4. Step 4: Simplify right side
    196.80x = 53,017.80
  5. Step 5: Solve for x
    x = 53,017.80/196.80
  6. Step 6: Final answer
    x = 269.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.