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Finding the Fourth Proportional to 486.51, 729.64 and 178.20

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Solution

The fourth proportional to 486.51, 729.64 and 178.20 is: 267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.51 : 729.64 = 178.20 : x
  2. Step 2: Convert to fraction form
    486.51/729.64 = 178.20/x
  3. Step 3: Cross multiply
    486.51x = 729.64 × 178.20
  4. Step 4: Simplify right side
    486.51x = 130,022.07
  5. Step 5: Solve for x
    x = 130,022.07/486.51
  6. Step 6: Final answer
    x = 267.25

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