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Finding the Fourth Proportional to 234.48, 352.94 and 212.12

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Solution

The fourth proportional to 234.48, 352.94 and 212.12 is: 319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.48 : 352.94 = 212.12 : x
  2. Step 2: Convert to fraction form
    234.48/352.94 = 212.12/x
  3. Step 3: Cross multiply
    234.48x = 352.94 × 212.12
  4. Step 4: Simplify right side
    234.48x = 74,865.63
  5. Step 5: Solve for x
    x = 74,865.63/234.48
  6. Step 6: Final answer
    x = 319.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.