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Finding the Fourth Proportional to 300.24, 414.36 and 169.28

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Solution

The fourth proportional to 300.24, 414.36 and 169.28 is: 233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.24 : 414.36 = 169.28 : x
  2. Step 2: Convert to fraction form
    300.24/414.36 = 169.28/x
  3. Step 3: Cross multiply
    300.24x = 414.36 × 169.28
  4. Step 4: Simplify right side
    300.24x = 70,142.86
  5. Step 5: Solve for x
    x = 70,142.86/300.24
  6. Step 6: Final answer
    x = 233.62

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