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Finding the Fourth Proportional to 300.29, 414.39 and 183.85

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Solution

The fourth proportional to 300.29, 414.39 and 183.85 is: 253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.29 : 414.39 = 183.85 : x
  2. Step 2: Convert to fraction form
    300.29/414.39 = 183.85/x
  3. Step 3: Cross multiply
    300.29x = 414.39 × 183.85
  4. Step 4: Simplify right side
    300.29x = 76,184.57
  5. Step 5: Solve for x
    x = 76,184.57/300.29
  6. Step 6: Final answer
    x = 253.71

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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.