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Finding the Fourth Proportional to 269.93, 405 and 107.73

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Solution

The fourth proportional to 269.93, 405 and 107.73 is: 161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.93 : 405 = 107.73 : x
  2. Step 2: Convert to fraction form
    269.93/405 = 107.73/x
  3. Step 3: Cross multiply
    269.93x = 405 × 107.73
  4. Step 4: Simplify right side
    269.93x = 43,630.65
  5. Step 5: Solve for x
    x = 43,630.65/269.93
  6. Step 6: Final answer
    x = 161.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.