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Finding the Fourth Proportional to 194.16, 269.02 and 190.04

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Solution

The fourth proportional to 194.16, 269.02 and 190.04 is: 263.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.16 : 269.02 = 190.04 : x
  2. Step 2: Convert to fraction form
    194.16/269.02 = 190.04/x
  3. Step 3: Cross multiply
    194.16x = 269.02 × 190.04
  4. Step 4: Simplify right side
    194.16x = 51,124.56
  5. Step 5: Solve for x
    x = 51,124.56/194.16
  6. Step 6: Final answer
    x = 263.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.