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Finding the Fourth Proportional to 194.50, 268.36 and 153.05

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Solution

The fourth proportional to 194.50, 268.36 and 153.05 is: 211.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.50 : 268.36 = 153.05 : x
  2. Step 2: Convert to fraction form
    194.50/268.36 = 153.05/x
  3. Step 3: Cross multiply
    194.50x = 268.36 × 153.05
  4. Step 4: Simplify right side
    194.50x = 41,072.50
  5. Step 5: Solve for x
    x = 41,072.50/194.50
  6. Step 6: Final answer
    x = 211.17

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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.