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Finding the Fourth Proportional to 205.31, 308.05 and 114.03

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Solution

The fourth proportional to 205.31, 308.05 and 114.03 is: 171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.31 : 308.05 = 114.03 : x
  2. Step 2: Convert to fraction form
    205.31/308.05 = 114.03/x
  3. Step 3: Cross multiply
    205.31x = 308.05 × 114.03
  4. Step 4: Simplify right side
    205.31x = 35,126.66
  5. Step 5: Solve for x
    x = 35,126.66/205.31
  6. Step 6: Final answer
    x = 171.09

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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.