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Finding the Fourth Proportional to 185.76, 277.80 and 165.32

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Solution

The fourth proportional to 185.76, 277.80 and 165.32 is: 247.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.76 : 277.80 = 165.32 : x
  2. Step 2: Convert to fraction form
    185.76/277.80 = 165.32/x
  3. Step 3: Cross multiply
    185.76x = 277.80 × 165.32
  4. Step 4: Simplify right side
    185.76x = 45,925.90
  5. Step 5: Solve for x
    x = 45,925.90/185.76
  6. Step 6: Final answer
    x = 247.23

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