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Finding the Fourth Proportional to 456.52, 684.78 and 131.90

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Solution

The fourth proportional to 456.52, 684.78 and 131.90 is: 197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.52 : 684.78 = 131.90 : x
  2. Step 2: Convert to fraction form
    456.52/684.78 = 131.90/x
  3. Step 3: Cross multiply
    456.52x = 684.78 × 131.90
  4. Step 4: Simplify right side
    456.52x = 90,322.48
  5. Step 5: Solve for x
    x = 90,322.48/456.52
  6. Step 6: Final answer
    x = 197.85

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