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Finding the Fourth Proportional to 306.82, 460 and 176.64

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Solution

The fourth proportional to 306.82, 460 and 176.64 is: 264.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.82 : 460 = 176.64 : x
  2. Step 2: Convert to fraction form
    306.82/460 = 176.64/x
  3. Step 3: Cross multiply
    306.82x = 460 × 176.64
  4. Step 4: Simplify right side
    306.82x = 81,254.40
  5. Step 5: Solve for x
    x = 81,254.40/306.82
  6. Step 6: Final answer
    x = 264.83

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