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Finding the Fourth Proportional to 206.98, 309.85 and 165.98

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Solution

The fourth proportional to 206.98, 309.85 and 165.98 is: 248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.98 : 309.85 = 165.98 : x
  2. Step 2: Convert to fraction form
    206.98/309.85 = 165.98/x
  3. Step 3: Cross multiply
    206.98x = 309.85 × 165.98
  4. Step 4: Simplify right side
    206.98x = 51,429.26
  5. Step 5: Solve for x
    x = 51,429.26/206.98
  6. Step 6: Final answer
    x = 248.48

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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.