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Finding the Fourth Proportional to 205.88, 308.93 and 109.71

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Solution

The fourth proportional to 205.88, 308.93 and 109.71 is: 164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 308.93 = 109.71 : x
  2. Step 2: Convert to fraction form
    205.88/308.93 = 109.71/x
  3. Step 3: Cross multiply
    205.88x = 308.93 × 109.71
  4. Step 4: Simplify right side
    205.88x = 33,892.16
  5. Step 5: Solve for x
    x = 33,892.16/205.88
  6. Step 6: Final answer
    x = 164.62

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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.