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Finding the Fourth Proportional to 213.14, 319.26 and 104.66

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Solution

The fourth proportional to 213.14, 319.26 and 104.66 is: 156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.14 : 319.26 = 104.66 : x
  2. Step 2: Convert to fraction form
    213.14/319.26 = 104.66/x
  3. Step 3: Cross multiply
    213.14x = 319.26 × 104.66
  4. Step 4: Simplify right side
    213.14x = 33,413.75
  5. Step 5: Solve for x
    x = 33,413.75/213.14
  6. Step 6: Final answer
    x = 156.77

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Why These Related Problems?

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