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Finding the Fourth Proportional to 234.24, 349.40 and 223.12

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Solution

The fourth proportional to 234.24, 349.40 and 223.12 is: 332.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.24 : 349.40 = 223.12 : x
  2. Step 2: Convert to fraction form
    234.24/349.40 = 223.12/x
  3. Step 3: Cross multiply
    234.24x = 349.40 × 223.12
  4. Step 4: Simplify right side
    234.24x = 77,958.13
  5. Step 5: Solve for x
    x = 77,958.13/234.24
  6. Step 6: Final answer
    x = 332.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.