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Finding the Fourth Proportional to 300.28, 414.42 and 183.88

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Solution

The fourth proportional to 300.28, 414.42 and 183.88 is: 253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.28 : 414.42 = 183.88 : x
  2. Step 2: Convert to fraction form
    300.28/414.42 = 183.88/x
  3. Step 3: Cross multiply
    300.28x = 414.42 × 183.88
  4. Step 4: Simplify right side
    300.28x = 76,203.55
  5. Step 5: Solve for x
    x = 76,203.55/300.28
  6. Step 6: Final answer
    x = 253.77

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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.