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Finding the Fourth Proportional to 456.14, 684.24 and 131.53

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Solution

The fourth proportional to 456.14, 684.24 and 131.53 is: 197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.14 : 684.24 = 131.53 : x
  2. Step 2: Convert to fraction form
    456.14/684.24 = 131.53/x
  3. Step 3: Cross multiply
    456.14x = 684.24 × 131.53
  4. Step 4: Simplify right side
    456.14x = 89,998.09
  5. Step 5: Solve for x
    x = 89,998.09/456.14
  6. Step 6: Final answer
    x = 197.30

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