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Finding the Fourth Proportional to 460.74, 691.12 and 186.78

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Solution

The fourth proportional to 460.74, 691.12 and 186.78 is: 280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.74 : 691.12 = 186.78 : x
  2. Step 2: Convert to fraction form
    460.74/691.12 = 186.78/x
  3. Step 3: Cross multiply
    460.74x = 691.12 × 186.78
  4. Step 4: Simplify right side
    460.74x = 129,087.39
  5. Step 5: Solve for x
    x = 129,087.39/460.74
  6. Step 6: Final answer
    x = 280.17

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