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Finding the Fourth Proportional to 214.92, 322.11 and 178.74

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Solution

The fourth proportional to 214.92, 322.11 and 178.74 is: 267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.92 : 322.11 = 178.74 : x
  2. Step 2: Convert to fraction form
    214.92/322.11 = 178.74/x
  3. Step 3: Cross multiply
    214.92x = 322.11 × 178.74
  4. Step 4: Simplify right side
    214.92x = 57,573.94
  5. Step 5: Solve for x
    x = 57,573.94/214.92
  6. Step 6: Final answer
    x = 267.89

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