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Finding the Fourth Proportional to 204.84, 306.90 and 123.54

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Solution

The fourth proportional to 204.84, 306.90 and 123.54 is: 185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.84 : 306.90 = 123.54 : x
  2. Step 2: Convert to fraction form
    204.84/306.90 = 123.54/x
  3. Step 3: Cross multiply
    204.84x = 306.90 × 123.54
  4. Step 4: Simplify right side
    204.84x = 37,914.43
  5. Step 5: Solve for x
    x = 37,914.43/204.84
  6. Step 6: Final answer
    x = 185.09

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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.