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Finding the Fourth Proportional to 512.73, 769.01 and 188.01

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Solution

The fourth proportional to 512.73, 769.01 and 188.01 is: 281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.73 : 769.01 = 188.01 : x
  2. Step 2: Convert to fraction form
    512.73/769.01 = 188.01/x
  3. Step 3: Cross multiply
    512.73x = 769.01 × 188.01
  4. Step 4: Simplify right side
    512.73x = 144,580.63
  5. Step 5: Solve for x
    x = 144,580.63/512.73
  6. Step 6: Final answer
    x = 281.98

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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.