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Finding the Fourth Proportional to 205.26, 307.81 and 102.61

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Solution

The fourth proportional to 205.26, 307.81 and 102.61 is: 153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.26 : 307.81 = 102.61 : x
  2. Step 2: Convert to fraction form
    205.26/307.81 = 102.61/x
  3. Step 3: Cross multiply
    205.26x = 307.81 × 102.61
  4. Step 4: Simplify right side
    205.26x = 31,584.38
  5. Step 5: Solve for x
    x = 31,584.38/205.26
  6. Step 6: Final answer
    x = 153.88

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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.