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Finding the Fourth Proportional to 309.62, 464.70 and 165.44

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Solution

The fourth proportional to 309.62, 464.70 and 165.44 is: 248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.62 : 464.70 = 165.44 : x
  2. Step 2: Convert to fraction form
    309.62/464.70 = 165.44/x
  3. Step 3: Cross multiply
    309.62x = 464.70 × 165.44
  4. Step 4: Simplify right side
    309.62x = 76,879.97
  5. Step 5: Solve for x
    x = 76,879.97/309.62
  6. Step 6: Final answer
    x = 248.30

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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.