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Finding the Fourth Proportional to 194.54, 268.70 and 171.24

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Solution

The fourth proportional to 194.54, 268.70 and 171.24 is: 236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.54 : 268.70 = 171.24 : x
  2. Step 2: Convert to fraction form
    194.54/268.70 = 171.24/x
  3. Step 3: Cross multiply
    194.54x = 268.70 × 171.24
  4. Step 4: Simplify right side
    194.54x = 46,011.33
  5. Step 5: Solve for x
    x = 46,011.33/194.54
  6. Step 6: Final answer
    x = 236.52

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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.