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Finding the Fourth Proportional to 465.24, 697.66 and 140.54

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Solution

The fourth proportional to 465.24, 697.66 and 140.54 is: 210.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.24 : 697.66 = 140.54 : x
  2. Step 2: Convert to fraction form
    465.24/697.66 = 140.54/x
  3. Step 3: Cross multiply
    465.24x = 697.66 × 140.54
  4. Step 4: Simplify right side
    465.24x = 98,046.09
  5. Step 5: Solve for x
    x = 98,046.09/465.24
  6. Step 6: Final answer
    x = 210.74

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