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Finding the Fourth Proportional to 205.70, 308.36 and 102.92

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Solution

The fourth proportional to 205.70, 308.36 and 102.92 is: 154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.70 : 308.36 = 102.92 : x
  2. Step 2: Convert to fraction form
    205.70/308.36 = 102.92/x
  3. Step 3: Cross multiply
    205.70x = 308.36 × 102.92
  4. Step 4: Simplify right side
    205.70x = 31,735.13
  5. Step 5: Solve for x
    x = 31,735.13/205.70
  6. Step 6: Final answer
    x = 154.28

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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.