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Finding the Fourth Proportional to 206.30, 309.19 and 103.33

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Solution

The fourth proportional to 206.30, 309.19 and 103.33 is: 154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.30 : 309.19 = 103.33 : x
  2. Step 2: Convert to fraction form
    206.30/309.19 = 103.33/x
  3. Step 3: Cross multiply
    206.30x = 309.19 × 103.33
  4. Step 4: Simplify right side
    206.30x = 31,948.60
  5. Step 5: Solve for x
    x = 31,948.60/206.30
  6. Step 6: Final answer
    x = 154.86

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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.