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Finding the Fourth Proportional to 242.82, 364.64 and 216.84

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Solution

The fourth proportional to 242.82, 364.64 and 216.84 is: 325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.82 : 364.64 = 216.84 : x
  2. Step 2: Convert to fraction form
    242.82/364.64 = 216.84/x
  3. Step 3: Cross multiply
    242.82x = 364.64 × 216.84
  4. Step 4: Simplify right side
    242.82x = 79,068.54
  5. Step 5: Solve for x
    x = 79,068.54/242.82
  6. Step 6: Final answer
    x = 325.63

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