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Finding the Fourth Proportional to 309.44, 464.22 and 165.32

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Solution

The fourth proportional to 309.44, 464.22 and 165.32 is: 248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.44 : 464.22 = 165.32 : x
  2. Step 2: Convert to fraction form
    309.44/464.22 = 165.32/x
  3. Step 3: Cross multiply
    309.44x = 464.22 × 165.32
  4. Step 4: Simplify right side
    309.44x = 76,744.85
  5. Step 5: Solve for x
    x = 76,744.85/309.44
  6. Step 6: Final answer
    x = 248.01

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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.