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Finding the Fourth Proportional to 300.23, 414.32 and 167.46

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Solution

The fourth proportional to 300.23, 414.32 and 167.46 is: 231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.23 : 414.32 = 167.46 : x
  2. Step 2: Convert to fraction form
    300.23/414.32 = 167.46/x
  3. Step 3: Cross multiply
    300.23x = 414.32 × 167.46
  4. Step 4: Simplify right side
    300.23x = 69,382.03
  5. Step 5: Solve for x
    x = 69,382.03/300.23
  6. Step 6: Final answer
    x = 231.10

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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.