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Finding the Fourth Proportional to 264, 364.25 and 159.06

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Solution

The fourth proportional to 264, 364.25 and 159.06 is: 219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264 : 364.25 = 159.06 : x
  2. Step 2: Convert to fraction form
    264/364.25 = 159.06/x
  3. Step 3: Cross multiply
    264x = 364.25 × 159.06
  4. Step 4: Simplify right side
    264x = 57,937.61
  5. Step 5: Solve for x
    x = 57,937.61/264
  6. Step 6: Final answer
    x = 219.46

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