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Finding the Fourth Proportional to 234.54, 354.36 and 232.30

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Solution

The fourth proportional to 234.54, 354.36 and 232.30 is: 350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.54 : 354.36 = 232.30 : x
  2. Step 2: Convert to fraction form
    234.54/354.36 = 232.30/x
  3. Step 3: Cross multiply
    234.54x = 354.36 × 232.30
  4. Step 4: Simplify right side
    234.54x = 82,317.83
  5. Step 5: Solve for x
    x = 82,317.83/234.54
  6. Step 6: Final answer
    x = 350.98

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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.