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Finding the Fourth Proportional to 512.94, 769.41 and 188.22

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Solution

The fourth proportional to 512.94, 769.41 and 188.22 is: 282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.94 : 769.41 = 188.22 : x
  2. Step 2: Convert to fraction form
    512.94/769.41 = 188.22/x
  3. Step 3: Cross multiply
    512.94x = 769.41 × 188.22
  4. Step 4: Simplify right side
    512.94x = 144,818.35
  5. Step 5: Solve for x
    x = 144,818.35/512.94
  6. Step 6: Final answer
    x = 282.33

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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.