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Finding the Fourth Proportional to 178.85, 246.75 and 105.18

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Solution

The fourth proportional to 178.85, 246.75 and 105.18 is: 145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.85 : 246.75 = 105.18 : x
  2. Step 2: Convert to fraction form
    178.85/246.75 = 105.18/x
  3. Step 3: Cross multiply
    178.85x = 246.75 × 105.18
  4. Step 4: Simplify right side
    178.85x = 25,953.17
  5. Step 5: Solve for x
    x = 25,953.17/178.85
  6. Step 6: Final answer
    x = 145.12

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