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Finding the Fourth Proportional to 194.84, 292.67 and 122.75

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Solution

The fourth proportional to 194.84, 292.67 and 122.75 is: 184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.84 : 292.67 = 122.75 : x
  2. Step 2: Convert to fraction form
    194.84/292.67 = 122.75/x
  3. Step 3: Cross multiply
    194.84x = 292.67 × 122.75
  4. Step 4: Simplify right side
    194.84x = 35,923.17
  5. Step 5: Solve for x
    x = 35,923.17/194.84
  6. Step 6: Final answer
    x = 184.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.