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Finding the Fourth Proportional to 204.29, 306.48 and 82.55

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Solution

The fourth proportional to 204.29, 306.48 and 82.55 is: 123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.29 : 306.48 = 82.55 : x
  2. Step 2: Convert to fraction form
    204.29/306.48 = 82.55/x
  3. Step 3: Cross multiply
    204.29x = 306.48 × 82.55
  4. Step 4: Simplify right side
    204.29x = 25,299.51
  5. Step 5: Solve for x
    x = 25,299.51/204.29
  6. Step 6: Final answer
    x = 123.84

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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.