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Finding the Fourth Proportional to 206.78, 310.08 and 83.33

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Solution

The fourth proportional to 206.78, 310.08 and 83.33 is: 124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.78 : 310.08 = 83.33 : x
  2. Step 2: Convert to fraction form
    206.78/310.08 = 83.33/x
  3. Step 3: Cross multiply
    206.78x = 310.08 × 83.33
  4. Step 4: Simplify right side
    206.78x = 25,837.42
  5. Step 5: Solve for x
    x = 25,837.42/206.78
  6. Step 6: Final answer
    x = 124.95

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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.