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Finding the Fourth Proportional to 164.16, 245.68 and 144.64

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Solution

The fourth proportional to 164.16, 245.68 and 144.64 is: 216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.16 : 245.68 = 144.64 : x
  2. Step 2: Convert to fraction form
    164.16/245.68 = 144.64/x
  3. Step 3: Cross multiply
    164.16x = 245.68 × 144.64
  4. Step 4: Simplify right side
    164.16x = 35,535.16
  5. Step 5: Solve for x
    x = 35,535.16/164.16
  6. Step 6: Final answer
    x = 216.47

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