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Finding the Fourth Proportional to 204.86, 306.68 and 123.86

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Solution

The fourth proportional to 204.86, 306.68 and 123.86 is: 185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.86 : 306.68 = 123.86 : x
  2. Step 2: Convert to fraction form
    204.86/306.68 = 123.86/x
  3. Step 3: Cross multiply
    204.86x = 306.68 × 123.86
  4. Step 4: Simplify right side
    204.86x = 37,985.38
  5. Step 5: Solve for x
    x = 37,985.38/204.86
  6. Step 6: Final answer
    x = 185.42

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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.