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Finding the Fourth Proportional to 470.16, 705.36 and 181.68

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Solution

The fourth proportional to 470.16, 705.36 and 181.68 is: 272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.16 : 705.36 = 181.68 : x
  2. Step 2: Convert to fraction form
    470.16/705.36 = 181.68/x
  3. Step 3: Cross multiply
    470.16x = 705.36 × 181.68
  4. Step 4: Simplify right side
    470.16x = 128,149.80
  5. Step 5: Solve for x
    x = 128,149.80/470.16
  6. Step 6: Final answer
    x = 272.57

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