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Finding the Fourth Proportional to 512.00, 767.84 and 146.69

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Solution

The fourth proportional to 512.00, 767.84 and 146.69 is: 219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.00 : 767.84 = 146.69 : x
  2. Step 2: Convert to fraction form
    512.00/767.84 = 146.69/x
  3. Step 3: Cross multiply
    512.00x = 767.84 × 146.69
  4. Step 4: Simplify right side
    512.00x = 112,629.88
  5. Step 5: Solve for x
    x = 112,629.88/512.00
  6. Step 6: Final answer
    x = 219.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.