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Finding the Fourth Proportional to 304.92, 456.84 and 160.74

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Solution

The fourth proportional to 304.92, 456.84 and 160.74 is: 240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.92 : 456.84 = 160.74 : x
  2. Step 2: Convert to fraction form
    304.92/456.84 = 160.74/x
  3. Step 3: Cross multiply
    304.92x = 456.84 × 160.74
  4. Step 4: Simplify right side
    304.92x = 73,432.46
  5. Step 5: Solve for x
    x = 73,432.46/304.92
  6. Step 6: Final answer
    x = 240.83

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