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Finding the Fourth Proportional to 242.76, 364.23 and 120.96

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Solution

The fourth proportional to 242.76, 364.23 and 120.96 is: 181.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.76 : 364.23 = 120.96 : x
  2. Step 2: Convert to fraction form
    242.76/364.23 = 120.96/x
  3. Step 3: Cross multiply
    242.76x = 364.23 × 120.96
  4. Step 4: Simplify right side
    242.76x = 44,057.26
  5. Step 5: Solve for x
    x = 44,057.26/242.76
  6. Step 6: Final answer
    x = 181.48

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