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Finding the Fourth Proportional to 364.61, 546.78 and 133.43

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Solution

The fourth proportional to 364.61, 546.78 and 133.43 is: 200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.61 : 546.78 = 133.43 : x
  2. Step 2: Convert to fraction form
    364.61/546.78 = 133.43/x
  3. Step 3: Cross multiply
    364.61x = 546.78 × 133.43
  4. Step 4: Simplify right side
    364.61x = 72,954.12
  5. Step 5: Solve for x
    x = 72,954.12/364.61
  6. Step 6: Final answer
    x = 200.09

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