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Finding the Fourth Proportional to 268.81, 370.75 and 195.37

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Solution

The fourth proportional to 268.81, 370.75 and 195.37 is: 269.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.81 : 370.75 = 195.37 : x
  2. Step 2: Convert to fraction form
    268.81/370.75 = 195.37/x
  3. Step 3: Cross multiply
    268.81x = 370.75 × 195.37
  4. Step 4: Simplify right side
    268.81x = 72,433.43
  5. Step 5: Solve for x
    x = 72,433.43/268.81
  6. Step 6: Final answer
    x = 269.46

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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.