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Finding the Fourth Proportional to 300.23, 414.32 and 169.24

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Solution

The fourth proportional to 300.23, 414.32 and 169.24 is: 233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.23 : 414.32 = 169.24 : x
  2. Step 2: Convert to fraction form
    300.23/414.32 = 169.24/x
  3. Step 3: Cross multiply
    300.23x = 414.32 × 169.24
  4. Step 4: Simplify right side
    300.23x = 70,118.67
  5. Step 5: Solve for x
    x = 70,118.67/300.23
  6. Step 6: Final answer
    x = 233.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.