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Finding the Fourth Proportional to 214.74, 322.25 and 77.79

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Solution

The fourth proportional to 214.74, 322.25 and 77.79 is: 116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.74 : 322.25 = 77.79 : x
  2. Step 2: Convert to fraction form
    214.74/322.25 = 77.79/x
  3. Step 3: Cross multiply
    214.74x = 322.25 × 77.79
  4. Step 4: Simplify right side
    214.74x = 25,067.83
  5. Step 5: Solve for x
    x = 25,067.83/214.74
  6. Step 6: Final answer
    x = 116.74

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