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Finding the Fourth Proportional to 214.32, 320.96 and 117.92

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Solution

The fourth proportional to 214.32, 320.96 and 117.92 is: 176.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.32 : 320.96 = 117.92 : x
  2. Step 2: Convert to fraction form
    214.32/320.96 = 117.92/x
  3. Step 3: Cross multiply
    214.32x = 320.96 × 117.92
  4. Step 4: Simplify right side
    214.32x = 37,847.60
  5. Step 5: Solve for x
    x = 37,847.60/214.32
  6. Step 6: Final answer
    x = 176.59

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