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Finding the Fourth Proportional to 309.92, 464.34 and 165.56

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Solution

The fourth proportional to 309.92, 464.34 and 165.56 is: 248.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.92 : 464.34 = 165.56 : x
  2. Step 2: Convert to fraction form
    309.92/464.34 = 165.56/x
  3. Step 3: Cross multiply
    309.92x = 464.34 × 165.56
  4. Step 4: Simplify right side
    309.92x = 76,876.13
  5. Step 5: Solve for x
    x = 76,876.13/309.92
  6. Step 6: Final answer
    x = 248.05

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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.