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Finding the Fourth Proportional to 204.81, 306.90 and 96.47

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Solution

The fourth proportional to 204.81, 306.90 and 96.47 is: 144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.81 : 306.90 = 96.47 : x
  2. Step 2: Convert to fraction form
    204.81/306.90 = 96.47/x
  3. Step 3: Cross multiply
    204.81x = 306.90 × 96.47
  4. Step 4: Simplify right side
    204.81x = 29,607.41
  5. Step 5: Solve for x
    x = 29,607.41/204.81
  6. Step 6: Final answer
    x = 144.56

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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.