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Finding the Fourth Proportional to 465.14, 697.61 and 140.54

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Solution

The fourth proportional to 465.14, 697.61 and 140.54 is: 210.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.14 : 697.61 = 140.54 : x
  2. Step 2: Convert to fraction form
    465.14/697.61 = 140.54/x
  3. Step 3: Cross multiply
    465.14x = 697.61 × 140.54
  4. Step 4: Simplify right side
    465.14x = 98,038.97
  5. Step 5: Solve for x
    x = 98,038.97/465.14
  6. Step 6: Final answer
    x = 210.77

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