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Finding the Fourth Proportional to 194.69, 269.07 and 166.89

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Solution

The fourth proportional to 194.69, 269.07 and 166.89 is: 230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.69 : 269.07 = 166.89 : x
  2. Step 2: Convert to fraction form
    194.69/269.07 = 166.89/x
  3. Step 3: Cross multiply
    194.69x = 269.07 × 166.89
  4. Step 4: Simplify right side
    194.69x = 44,905.09
  5. Step 5: Solve for x
    x = 44,905.09/194.69
  6. Step 6: Final answer
    x = 230.66

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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.