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Finding the Fourth Proportional to 204.63, 306.99 and 76.38

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Solution

The fourth proportional to 204.63, 306.99 and 76.38 is: 114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.63 : 306.99 = 76.38 : x
  2. Step 2: Convert to fraction form
    204.63/306.99 = 76.38/x
  3. Step 3: Cross multiply
    204.63x = 306.99 × 76.38
  4. Step 4: Simplify right side
    204.63x = 23,447.90
  5. Step 5: Solve for x
    x = 23,447.90/204.63
  6. Step 6: Final answer
    x = 114.59

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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.