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Finding the Fourth Proportional to 364.14, 546 and 120.66

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Solution

The fourth proportional to 364.14, 546 and 120.66 is: 180.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.14 : 546 = 120.66 : x
  2. Step 2: Convert to fraction form
    364.14/546 = 120.66/x
  3. Step 3: Cross multiply
    364.14x = 546 × 120.66
  4. Step 4: Simplify right side
    364.14x = 65,880.36
  5. Step 5: Solve for x
    x = 65,880.36/364.14
  6. Step 6: Final answer
    x = 180.92

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