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Finding the Fourth Proportional to 456.58, 684.90 and 167.92

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Solution

The fourth proportional to 456.58, 684.90 and 167.92 is: 251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.58 : 684.90 = 167.92 : x
  2. Step 2: Convert to fraction form
    456.58/684.90 = 167.92/x
  3. Step 3: Cross multiply
    456.58x = 684.90 × 167.92
  4. Step 4: Simplify right side
    456.58x = 115,008.41
  5. Step 5: Solve for x
    x = 115,008.41/456.58
  6. Step 6: Final answer
    x = 251.89

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