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Finding the Fourth Proportional to 280.62, 421.05 and 178.02

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Solution

The fourth proportional to 280.62, 421.05 and 178.02 is: 267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.62 : 421.05 = 178.02 : x
  2. Step 2: Convert to fraction form
    280.62/421.05 = 178.02/x
  3. Step 3: Cross multiply
    280.62x = 421.05 × 178.02
  4. Step 4: Simplify right side
    280.62x = 74,955.32
  5. Step 5: Solve for x
    x = 74,955.32/280.62
  6. Step 6: Final answer
    x = 267.11

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