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Finding the Fourth Proportional to 232.96, 350.16 and 169.12

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Solution

The fourth proportional to 232.96, 350.16 and 169.12 is: 254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.96 : 350.16 = 169.12 : x
  2. Step 2: Convert to fraction form
    232.96/350.16 = 169.12/x
  3. Step 3: Cross multiply
    232.96x = 350.16 × 169.12
  4. Step 4: Simplify right side
    232.96x = 59,219.06
  5. Step 5: Solve for x
    x = 59,219.06/232.96
  6. Step 6: Final answer
    x = 254.20

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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.