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Finding the Fourth Proportional to 204.42, 306.74 and 96.19

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Solution

The fourth proportional to 204.42, 306.74 and 96.19 is: 144.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.42 : 306.74 = 96.19 : x
  2. Step 2: Convert to fraction form
    204.42/306.74 = 96.19/x
  3. Step 3: Cross multiply
    204.42x = 306.74 × 96.19
  4. Step 4: Simplify right side
    204.42x = 29,504.25
  5. Step 5: Solve for x
    x = 29,504.25/204.42
  6. Step 6: Final answer
    x = 144.33

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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.