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Finding the Fourth Proportional to 194.79, 269.06 and 171.56

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Solution

The fourth proportional to 194.79, 269.06 and 171.56 is: 236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.79 : 269.06 = 171.56 : x
  2. Step 2: Convert to fraction form
    194.79/269.06 = 171.56/x
  3. Step 3: Cross multiply
    194.79x = 269.06 × 171.56
  4. Step 4: Simplify right side
    194.79x = 46,159.93
  5. Step 5: Solve for x
    x = 46,159.93/194.79
  6. Step 6: Final answer
    x = 236.97

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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.