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Finding the Fourth Proportional to 232.18, 347.64 and 123.73

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Solution

The fourth proportional to 232.18, 347.64 and 123.73 is: 185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.18 : 347.64 = 123.73 : x
  2. Step 2: Convert to fraction form
    232.18/347.64 = 123.73/x
  3. Step 3: Cross multiply
    232.18x = 347.64 × 123.73
  4. Step 4: Simplify right side
    232.18x = 43,013.50
  5. Step 5: Solve for x
    x = 43,013.50/232.18
  6. Step 6: Final answer
    x = 185.26

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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.