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Finding the Fourth Proportional to 205.73, 308.46 and 100.14

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Solution

The fourth proportional to 205.73, 308.46 and 100.14 is: 150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.73 : 308.46 = 100.14 : x
  2. Step 2: Convert to fraction form
    205.73/308.46 = 100.14/x
  3. Step 3: Cross multiply
    205.73x = 308.46 × 100.14
  4. Step 4: Simplify right side
    205.73x = 30,889.18
  5. Step 5: Solve for x
    x = 30,889.18/205.73
  6. Step 6: Final answer
    x = 150.14

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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.