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Finding the Fourth Proportional to 512.49, 768.75 and 187.77

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Solution

The fourth proportional to 512.49, 768.75 and 187.77 is: 281.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.49 : 768.75 = 187.77 : x
  2. Step 2: Convert to fraction form
    512.49/768.75 = 187.77/x
  3. Step 3: Cross multiply
    512.49x = 768.75 × 187.77
  4. Step 4: Simplify right side
    512.49x = 144,348.19
  5. Step 5: Solve for x
    x = 144,348.19/512.49
  6. Step 6: Final answer
    x = 281.66

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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.