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Finding the Fourth Proportional to 194.36, 268.49 and 155.27

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Solution

The fourth proportional to 194.36, 268.49 and 155.27 is: 214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.36 : 268.49 = 155.27 : x
  2. Step 2: Convert to fraction form
    194.36/268.49 = 155.27/x
  3. Step 3: Cross multiply
    194.36x = 268.49 × 155.27
  4. Step 4: Simplify right side
    194.36x = 41,688.63
  5. Step 5: Solve for x
    x = 41,688.63/194.36
  6. Step 6: Final answer
    x = 214.50

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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.