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Finding the Fourth Proportional to 275.78, 413.75 and 97.70

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Solution

The fourth proportional to 275.78, 413.75 and 97.70 is: 146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.78 : 413.75 = 97.70 : x
  2. Step 2: Convert to fraction form
    275.78/413.75 = 97.70/x
  3. Step 3: Cross multiply
    275.78x = 413.75 × 97.70
  4. Step 4: Simplify right side
    275.78x = 40,420.82
  5. Step 5: Solve for x
    x = 40,420.82/275.78
  6. Step 6: Final answer
    x = 146.57

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