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Finding the Fourth Proportional to 406.68, 610 and 146.68

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Solution

The fourth proportional to 406.68, 610 and 146.68 is: 220.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.68 : 610 = 146.68 : x
  2. Step 2: Convert to fraction form
    406.68/610 = 146.68/x
  3. Step 3: Cross multiply
    406.68x = 610 × 146.68
  4. Step 4: Simplify right side
    406.68x = 89,474.80
  5. Step 5: Solve for x
    x = 89,474.80/406.68
  6. Step 6: Final answer
    x = 220.01

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