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Finding the Fourth Proportional to 511.98, 768.14 and 165.30

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Solution

The fourth proportional to 511.98, 768.14 and 165.30 is: 248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.98 : 768.14 = 165.30 : x
  2. Step 2: Convert to fraction form
    511.98/768.14 = 165.30/x
  3. Step 3: Cross multiply
    511.98x = 768.14 × 165.30
  4. Step 4: Simplify right side
    511.98x = 126,972.72
  5. Step 5: Solve for x
    x = 126,972.72/511.98
  6. Step 6: Final answer
    x = 248.00

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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.