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Finding the Fourth Proportional to 232.70, 349.23 and 123.14

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Solution

The fourth proportional to 232.70, 349.23 and 123.14 is: 184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.70 : 349.23 = 123.14 : x
  2. Step 2: Convert to fraction form
    232.70/349.23 = 123.14/x
  3. Step 3: Cross multiply
    232.70x = 349.23 × 123.14
  4. Step 4: Simplify right side
    232.70x = 43,002.44
  5. Step 5: Solve for x
    x = 43,002.44/232.70
  6. Step 6: Final answer
    x = 184.80

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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.