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Finding the Fourth Proportional to 214.05, 320.94 and 116.67

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Solution

The fourth proportional to 214.05, 320.94 and 116.67 is: 174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.05 : 320.94 = 116.67 : x
  2. Step 2: Convert to fraction form
    214.05/320.94 = 116.67/x
  3. Step 3: Cross multiply
    214.05x = 320.94 × 116.67
  4. Step 4: Simplify right side
    214.05x = 37,444.07
  5. Step 5: Solve for x
    x = 37,444.07/214.05
  6. Step 6: Final answer
    x = 174.93

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