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Finding the Fourth Proportional to 510.85, 766.19 and 145.64

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Solution

The fourth proportional to 510.85, 766.19 and 145.64 is: 218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.85 : 766.19 = 145.64 : x
  2. Step 2: Convert to fraction form
    510.85/766.19 = 145.64/x
  3. Step 3: Cross multiply
    510.85x = 766.19 × 145.64
  4. Step 4: Simplify right side
    510.85x = 111,587.91
  5. Step 5: Solve for x
    x = 111,587.91/510.85
  6. Step 6: Final answer
    x = 218.44

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