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Finding the Fourth Proportional to 438.24, 657.72 and 178.40

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Solution

The fourth proportional to 438.24, 657.72 and 178.40 is: 267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.24 : 657.72 = 178.40 : x
  2. Step 2: Convert to fraction form
    438.24/657.72 = 178.40/x
  3. Step 3: Cross multiply
    438.24x = 657.72 × 178.40
  4. Step 4: Simplify right side
    438.24x = 117,338.89
  5. Step 5: Solve for x
    x = 117,338.89/438.24
  6. Step 6: Final answer
    x = 267.75

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