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Finding the Fourth Proportional to 309.20, 464.04 and 164.96

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Solution

The fourth proportional to 309.20, 464.04 and 164.96 is: 247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.20 : 464.04 = 164.96 : x
  2. Step 2: Convert to fraction form
    309.20/464.04 = 164.96/x
  3. Step 3: Cross multiply
    309.20x = 464.04 × 164.96
  4. Step 4: Simplify right side
    309.20x = 76,548.04
  5. Step 5: Solve for x
    x = 76,548.04/309.20
  6. Step 6: Final answer
    x = 247.57

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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.