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Finding the Fourth Proportional to 275.70, 413.81 and 138.84

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Solution

The fourth proportional to 275.70, 413.81 and 138.84 is: 208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.70 : 413.81 = 138.84 : x
  2. Step 2: Convert to fraction form
    275.70/413.81 = 138.84/x
  3. Step 3: Cross multiply
    275.70x = 413.81 × 138.84
  4. Step 4: Simplify right side
    275.70x = 57,452.69
  5. Step 5: Solve for x
    x = 57,452.69/275.70
  6. Step 6: Final answer
    x = 208.39

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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.