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Finding the Fourth Proportional to 255.83, 382.98 and 164.45

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Solution

The fourth proportional to 255.83, 382.98 and 164.45 is: 246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.83 : 382.98 = 164.45 : x
  2. Step 2: Convert to fraction form
    255.83/382.98 = 164.45/x
  3. Step 3: Cross multiply
    255.83x = 382.98 × 164.45
  4. Step 4: Simplify right side
    255.83x = 62,981.06
  5. Step 5: Solve for x
    x = 62,981.06/255.83
  6. Step 6: Final answer
    x = 246.18

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