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Finding the Fourth Proportional to 194.35, 268.09 and 141.82

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Solution

The fourth proportional to 194.35, 268.09 and 141.82 is: 195.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.35 : 268.09 = 141.82 : x
  2. Step 2: Convert to fraction form
    194.35/268.09 = 141.82/x
  3. Step 3: Cross multiply
    194.35x = 268.09 × 141.82
  4. Step 4: Simplify right side
    194.35x = 38,019.81
  5. Step 5: Solve for x
    x = 38,019.81/194.35
  6. Step 6: Final answer
    x = 195.63

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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.