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Finding the Fourth Proportional to 275.69, 413.22 and 145.82

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Solution

The fourth proportional to 275.69, 413.22 and 145.82 is: 218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.69 : 413.22 = 145.82 : x
  2. Step 2: Convert to fraction form
    275.69/413.22 = 145.82/x
  3. Step 3: Cross multiply
    275.69x = 413.22 × 145.82
  4. Step 4: Simplify right side
    275.69x = 60,255.74
  5. Step 5: Solve for x
    x = 60,255.74/275.69
  6. Step 6: Final answer
    x = 218.56

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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.