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Finding the Fourth Proportional to 275.23, 413.01 and 101.88

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Solution

The fourth proportional to 275.23, 413.01 and 101.88 is: 152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.23 : 413.01 = 101.88 : x
  2. Step 2: Convert to fraction form
    275.23/413.01 = 101.88/x
  3. Step 3: Cross multiply
    275.23x = 413.01 × 101.88
  4. Step 4: Simplify right side
    275.23x = 42,077.46
  5. Step 5: Solve for x
    x = 42,077.46/275.23
  6. Step 6: Final answer
    x = 152.88

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