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Finding the Fourth Proportional to 204.30, 306.40 and 82.52

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Solution

The fourth proportional to 204.30, 306.40 and 82.52 is: 123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.30 : 306.40 = 82.52 : x
  2. Step 2: Convert to fraction form
    204.30/306.40 = 82.52/x
  3. Step 3: Cross multiply
    204.30x = 306.40 × 82.52
  4. Step 4: Simplify right side
    204.30x = 25,284.13
  5. Step 5: Solve for x
    x = 25,284.13/204.30
  6. Step 6: Final answer
    x = 123.76

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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.