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Finding the Fourth Proportional to 232.54, 320.90 and 134.29

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Solution

The fourth proportional to 232.54, 320.90 and 134.29 is: 185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.54 : 320.90 = 134.29 : x
  2. Step 2: Convert to fraction form
    232.54/320.90 = 134.29/x
  3. Step 3: Cross multiply
    232.54x = 320.90 × 134.29
  4. Step 4: Simplify right side
    232.54x = 43,092.19
  5. Step 5: Solve for x
    x = 43,092.19/232.54
  6. Step 6: Final answer
    x = 185.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.