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Finding the Fourth Proportional to 204.65, 306.81 and 96.41

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Solution

The fourth proportional to 204.65, 306.81 and 96.41 is: 144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.65 : 306.81 = 96.41 : x
  2. Step 2: Convert to fraction form
    204.65/306.81 = 96.41/x
  3. Step 3: Cross multiply
    204.65x = 306.81 × 96.41
  4. Step 4: Simplify right side
    204.65x = 29,579.55
  5. Step 5: Solve for x
    x = 29,579.55/204.65
  6. Step 6: Final answer
    x = 144.54

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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.