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Finding the Fourth Proportional to 234.24, 351.36 and 120

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Solution

The fourth proportional to 234.24, 351.36 and 120 is: 180

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.24 : 351.36 = 120 : x
  2. Step 2: Convert to fraction form
    234.24/351.36 = 120/x
  3. Step 3: Cross multiply
    234.24x = 351.36 × 120
  4. Step 4: Simplify right side
    234.24x = 42,163.20
  5. Step 5: Solve for x
    x = 42,163.20/234.24
  6. Step 6: Final answer
    x = 180

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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.