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Finding the Fourth Proportional to 380.95, 571.66 and 164.53

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Solution

The fourth proportional to 380.95, 571.66 and 164.53 is: 246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.95 : 571.66 = 164.53 : x
  2. Step 2: Convert to fraction form
    380.95/571.66 = 164.53/x
  3. Step 3: Cross multiply
    380.95x = 571.66 × 164.53
  4. Step 4: Simplify right side
    380.95x = 94,055.52
  5. Step 5: Solve for x
    x = 94,055.52/380.95
  6. Step 6: Final answer
    x = 246.90

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