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Finding the Fourth Proportional to 512.34, 768 and 187.62

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Solution

The fourth proportional to 512.34, 768 and 187.62 is: 281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.34 : 768 = 187.62 : x
  2. Step 2: Convert to fraction form
    512.34/768 = 187.62/x
  3. Step 3: Cross multiply
    512.34x = 768 × 187.62
  4. Step 4: Simplify right side
    512.34x = 144,092.16
  5. Step 5: Solve for x
    x = 144,092.16/512.34
  6. Step 6: Final answer
    x = 281.24

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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.