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Finding the Fourth Proportional to 204.66, 306.90 and 96.48

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Solution

The fourth proportional to 204.66, 306.90 and 96.48 is: 144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.66 : 306.90 = 96.48 : x
  2. Step 2: Convert to fraction form
    204.66/306.90 = 96.48/x
  3. Step 3: Cross multiply
    204.66x = 306.90 × 96.48
  4. Step 4: Simplify right side
    204.66x = 29,609.71
  5. Step 5: Solve for x
    x = 29,609.71/204.66
  6. Step 6: Final answer
    x = 144.68

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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.