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Finding the Fourth Proportional to 452.13, 677.64 and 178.05

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Solution

The fourth proportional to 452.13, 677.64 and 178.05 is: 266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.13 : 677.64 = 178.05 : x
  2. Step 2: Convert to fraction form
    452.13/677.64 = 178.05/x
  3. Step 3: Cross multiply
    452.13x = 677.64 × 178.05
  4. Step 4: Simplify right side
    452.13x = 120,653.80
  5. Step 5: Solve for x
    x = 120,653.80/452.13
  6. Step 6: Final answer
    x = 266.86

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