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Finding the Fourth Proportional to 195.98, 268.33 and 195.29

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Solution

The fourth proportional to 195.98, 268.33 and 195.29 is: 267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.98 : 268.33 = 195.29 : x
  2. Step 2: Convert to fraction form
    195.98/268.33 = 195.29/x
  3. Step 3: Cross multiply
    195.98x = 268.33 × 195.29
  4. Step 4: Simplify right side
    195.98x = 52,401.19
  5. Step 5: Solve for x
    x = 52,401.19/195.98
  6. Step 6: Final answer
    x = 267.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.