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Finding the Fourth Proportional to 186.54, 279.80 and 117.86

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Solution

The fourth proportional to 186.54, 279.80 and 117.86 is: 176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.54 : 279.80 = 117.86 : x
  2. Step 2: Convert to fraction form
    186.54/279.80 = 117.86/x
  3. Step 3: Cross multiply
    186.54x = 279.80 × 117.86
  4. Step 4: Simplify right side
    186.54x = 32,977.34
  5. Step 5: Solve for x
    x = 32,977.34/186.54
  6. Step 6: Final answer
    x = 176.78

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