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Finding the Fourth Proportional to 205.39, 308.06 and 102.65

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Solution

The fourth proportional to 205.39, 308.06 and 102.65 is: 153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.39 : 308.06 = 102.65 : x
  2. Step 2: Convert to fraction form
    205.39/308.06 = 102.65/x
  3. Step 3: Cross multiply
    205.39x = 308.06 × 102.65
  4. Step 4: Simplify right side
    205.39x = 31,621.85
  5. Step 5: Solve for x
    x = 31,621.85/205.39
  6. Step 6: Final answer
    x = 153.96

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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.