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Finding the Fourth Proportional to 296.93, 409.64 and 178.88

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Solution

The fourth proportional to 296.93, 409.64 and 178.88 is: 246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.93 : 409.64 = 178.88 : x
  2. Step 2: Convert to fraction form
    296.93/409.64 = 178.88/x
  3. Step 3: Cross multiply
    296.93x = 409.64 × 178.88
  4. Step 4: Simplify right side
    296.93x = 73,273.46
  5. Step 5: Solve for x
    x = 73,273.46/296.93
  6. Step 6: Final answer
    x = 246.77

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