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Finding the Fourth Proportional to 470.69, 705.81 and 178.25

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Solution

The fourth proportional to 470.69, 705.81 and 178.25 is: 267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.69 : 705.81 = 178.25 : x
  2. Step 2: Convert to fraction form
    470.69/705.81 = 178.25/x
  3. Step 3: Cross multiply
    470.69x = 705.81 × 178.25
  4. Step 4: Simplify right side
    470.69x = 125,807.77
  5. Step 5: Solve for x
    x = 125,807.77/470.69
  6. Step 6: Final answer
    x = 267.28

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