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Finding the Fourth Proportional to 289.82, 434.64 and 145.64

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Solution

The fourth proportional to 289.82, 434.64 and 145.64 is: 218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.82 : 434.64 = 145.64 : x
  2. Step 2: Convert to fraction form
    289.82/434.64 = 145.64/x
  3. Step 3: Cross multiply
    289.82x = 434.64 × 145.64
  4. Step 4: Simplify right side
    289.82x = 63,300.97
  5. Step 5: Solve for x
    x = 63,300.97/289.82
  6. Step 6: Final answer
    x = 218.41

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