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Finding the Fourth Proportional to 243.81, 336.89 and 195.09

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Solution

The fourth proportional to 243.81, 336.89 and 195.09 is: 269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.81 : 336.89 = 195.09 : x
  2. Step 2: Convert to fraction form
    243.81/336.89 = 195.09/x
  3. Step 3: Cross multiply
    243.81x = 336.89 × 195.09
  4. Step 4: Simplify right side
    243.81x = 65,723.87
  5. Step 5: Solve for x
    x = 65,723.87/243.81
  6. Step 6: Final answer
    x = 269.57

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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.