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Finding the Fourth Proportional to 351.39, 527.12 and 120.27

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Solution

The fourth proportional to 351.39, 527.12 and 120.27 is: 180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.39 : 527.12 = 120.27 : x
  2. Step 2: Convert to fraction form
    351.39/527.12 = 120.27/x
  3. Step 3: Cross multiply
    351.39x = 527.12 × 120.27
  4. Step 4: Simplify right side
    351.39x = 63,396.12
  5. Step 5: Solve for x
    x = 63,396.12/351.39
  6. Step 6: Final answer
    x = 180.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.