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Finding the Fourth Proportional to 194.84, 268.89 and 121.16

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Solution

The fourth proportional to 194.84, 268.89 and 121.16 is: 167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.84 : 268.89 = 121.16 : x
  2. Step 2: Convert to fraction form
    194.84/268.89 = 121.16/x
  3. Step 3: Cross multiply
    194.84x = 268.89 × 121.16
  4. Step 4: Simplify right side
    194.84x = 32,578.93
  5. Step 5: Solve for x
    x = 32,578.93/194.84
  6. Step 6: Final answer
    x = 167.21

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