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Finding the Fourth Proportional to 288.56, 432.75 and 126.20

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Solution

The fourth proportional to 288.56, 432.75 and 126.20 is: 189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.56 : 432.75 = 126.20 : x
  2. Step 2: Convert to fraction form
    288.56/432.75 = 126.20/x
  3. Step 3: Cross multiply
    288.56x = 432.75 × 126.20
  4. Step 4: Simplify right side
    288.56x = 54,613.05
  5. Step 5: Solve for x
    x = 54,613.05/288.56
  6. Step 6: Final answer
    x = 189.26

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