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Finding the Fourth Proportional to 277.76, 417.12 and 180.92

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Solution

The fourth proportional to 277.76, 417.12 and 180.92 is: 271.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.76 : 417.12 = 180.92 : x
  2. Step 2: Convert to fraction form
    277.76/417.12 = 180.92/x
  3. Step 3: Cross multiply
    277.76x = 417.12 × 180.92
  4. Step 4: Simplify right side
    277.76x = 75,465.35
  5. Step 5: Solve for x
    x = 75,465.35/277.76
  6. Step 6: Final answer
    x = 271.69

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