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Finding the Fourth Proportional to 234.54, 351.95 and 112.80

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Solution

The fourth proportional to 234.54, 351.95 and 112.80 is: 169.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.54 : 351.95 = 112.80 : x
  2. Step 2: Convert to fraction form
    234.54/351.95 = 112.80/x
  3. Step 3: Cross multiply
    234.54x = 351.95 × 112.80
  4. Step 4: Simplify right side
    234.54x = 39,699.96
  5. Step 5: Solve for x
    x = 39,699.96/234.54
  6. Step 6: Final answer
    x = 169.27

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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.