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Finding the Fourth Proportional to 259.12, 388.64 and 122.16

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Solution

The fourth proportional to 259.12, 388.64 and 122.16 is: 183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.12 : 388.64 = 122.16 : x
  2. Step 2: Convert to fraction form
    259.12/388.64 = 122.16/x
  3. Step 3: Cross multiply
    259.12x = 388.64 × 122.16
  4. Step 4: Simplify right side
    259.12x = 47,476.26
  5. Step 5: Solve for x
    x = 47,476.26/259.12
  6. Step 6: Final answer
    x = 183.22

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