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Finding the Fourth Proportional to 204.14, 306.16 and 82.48

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Solution

The fourth proportional to 204.14, 306.16 and 82.48 is: 123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.14 : 306.16 = 82.48 : x
  2. Step 2: Convert to fraction form
    204.14/306.16 = 82.48/x
  3. Step 3: Cross multiply
    204.14x = 306.16 × 82.48
  4. Step 4: Simplify right side
    204.14x = 25,252.08
  5. Step 5: Solve for x
    x = 25,252.08/204.14
  6. Step 6: Final answer
    x = 123.70

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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.