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Finding the Fourth Proportional to 510.80, 766.24 and 186.16

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Solution

The fourth proportional to 510.80, 766.24 and 186.16 is: 279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.80 : 766.24 = 186.16 : x
  2. Step 2: Convert to fraction form
    510.80/766.24 = 186.16/x
  3. Step 3: Cross multiply
    510.80x = 766.24 × 186.16
  4. Step 4: Simplify right side
    510.80x = 142,643.24
  5. Step 5: Solve for x
    x = 142,643.24/510.80
  6. Step 6: Final answer
    x = 279.25

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