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Finding the Fourth Proportional to 194.72, 268.83 and 123.83

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Solution

The fourth proportional to 194.72, 268.83 and 123.83 is: 170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.72 : 268.83 = 123.83 : x
  2. Step 2: Convert to fraction form
    194.72/268.83 = 123.83/x
  3. Step 3: Cross multiply
    194.72x = 268.83 × 123.83
  4. Step 4: Simplify right side
    194.72x = 33,289.22
  5. Step 5: Solve for x
    x = 33,289.22/194.72
  6. Step 6: Final answer
    x = 170.96

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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.