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Finding the Fourth Proportional to 185.76, 278.64 and 114.08

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Solution

The fourth proportional to 185.76, 278.64 and 114.08 is: 171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.76 : 278.64 = 114.08 : x
  2. Step 2: Convert to fraction form
    185.76/278.64 = 114.08/x
  3. Step 3: Cross multiply
    185.76x = 278.64 × 114.08
  4. Step 4: Simplify right side
    185.76x = 31,787.25
  5. Step 5: Solve for x
    x = 31,787.25/185.76
  6. Step 6: Final answer
    x = 171.12

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