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Finding the Fourth Proportional to 275.73, 413.05 and 145.54

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Solution

The fourth proportional to 275.73, 413.05 and 145.54 is: 218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.73 : 413.05 = 145.54 : x
  2. Step 2: Convert to fraction form
    275.73/413.05 = 145.54/x
  3. Step 3: Cross multiply
    275.73x = 413.05 × 145.54
  4. Step 4: Simplify right side
    275.73x = 60,113.90
  5. Step 5: Solve for x
    x = 60,113.90/275.73
  6. Step 6: Final answer
    x = 218.02

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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.