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Finding the Fourth Proportional to 275.76, 413.15 and 172.80

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Solution

The fourth proportional to 275.76, 413.15 and 172.80 is: 258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.76 : 413.15 = 172.80 : x
  2. Step 2: Convert to fraction form
    275.76/413.15 = 172.80/x
  3. Step 3: Cross multiply
    275.76x = 413.15 × 172.80
  4. Step 4: Simplify right side
    275.76x = 71,391.46
  5. Step 5: Solve for x
    x = 71,391.46/275.76
  6. Step 6: Final answer
    x = 258.89

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