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Finding the Fourth Proportional to 204.34, 306.96 and 123.23

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Solution

The fourth proportional to 204.34, 306.96 and 123.23 is: 185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.34 : 306.96 = 123.23 : x
  2. Step 2: Convert to fraction form
    204.34/306.96 = 123.23/x
  3. Step 3: Cross multiply
    204.34x = 306.96 × 123.23
  4. Step 4: Simplify right side
    204.34x = 37,826.68
  5. Step 5: Solve for x
    x = 37,826.68/204.34
  6. Step 6: Final answer
    x = 185.12

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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.