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Finding the Fourth Proportional to 194.95, 269.06 and 116.27

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Solution

The fourth proportional to 194.95, 269.06 and 116.27 is: 160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.95 : 269.06 = 116.27 : x
  2. Step 2: Convert to fraction form
    194.95/269.06 = 116.27/x
  3. Step 3: Cross multiply
    194.95x = 269.06 × 116.27
  4. Step 4: Simplify right side
    194.95x = 31,283.56
  5. Step 5: Solve for x
    x = 31,283.56/194.95
  6. Step 6: Final answer
    x = 160.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.