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Finding the Fourth Proportional to 234.99, 352.01 and 120.75

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Solution

The fourth proportional to 234.99, 352.01 and 120.75 is: 180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.99 : 352.01 = 120.75 : x
  2. Step 2: Convert to fraction form
    234.99/352.01 = 120.75/x
  3. Step 3: Cross multiply
    234.99x = 352.01 × 120.75
  4. Step 4: Simplify right side
    234.99x = 42,504.60
  5. Step 5: Solve for x
    x = 42,504.60/234.99
  6. Step 6: Final answer
    x = 180.88

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Why These Related Problems?

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