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Finding the Fourth Proportional to 194.94, 269.03 and 153.81

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Solution

The fourth proportional to 194.94, 269.03 and 153.81 is: 212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.94 : 269.03 = 153.81 : x
  2. Step 2: Convert to fraction form
    194.94/269.03 = 153.81/x
  3. Step 3: Cross multiply
    194.94x = 269.03 × 153.81
  4. Step 4: Simplify right side
    194.94x = 41,379.89
  5. Step 5: Solve for x
    x = 41,379.89/194.94
  6. Step 6: Final answer
    x = 212.27

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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.