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Finding the Fourth Proportional to 214.62, 322.08 and 77.67

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Solution

The fourth proportional to 214.62, 322.08 and 77.67 is: 116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.62 : 322.08 = 77.67 : x
  2. Step 2: Convert to fraction form
    214.62/322.08 = 77.67/x
  3. Step 3: Cross multiply
    214.62x = 322.08 × 77.67
  4. Step 4: Simplify right side
    214.62x = 25,017.57
  5. Step 5: Solve for x
    x = 25,017.57/214.62
  6. Step 6: Final answer
    x = 116.57

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