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Finding the Fourth Proportional to 204.79, 306.43 and 180.30

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Solution

The fourth proportional to 204.79, 306.43 and 180.30 is: 269.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.79 : 306.43 = 180.30 : x
  2. Step 2: Convert to fraction form
    204.79/306.43 = 180.30/x
  3. Step 3: Cross multiply
    204.79x = 306.43 × 180.30
  4. Step 4: Simplify right side
    204.79x = 55,249.33
  5. Step 5: Solve for x
    x = 55,249.33/204.79
  6. Step 6: Final answer
    x = 269.79

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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.