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Finding the Fourth Proportional to 194.48, 268.36 and 120.88

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Solution

The fourth proportional to 194.48, 268.36 and 120.88 is: 166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.48 : 268.36 = 120.88 : x
  2. Step 2: Convert to fraction form
    194.48/268.36 = 120.88/x
  3. Step 3: Cross multiply
    194.48x = 268.36 × 120.88
  4. Step 4: Simplify right side
    194.48x = 32,439.36
  5. Step 5: Solve for x
    x = 32,439.36/194.48
  6. Step 6: Final answer
    x = 166.80

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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.