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Finding the Fourth Proportional to 205.56, 308.00 and 114.21

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Solution

The fourth proportional to 205.56, 308.00 and 114.21 is: 171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.56 : 308.00 = 114.21 : x
  2. Step 2: Convert to fraction form
    205.56/308.00 = 114.21/x
  3. Step 3: Cross multiply
    205.56x = 308.00 × 114.21
  4. Step 4: Simplify right side
    205.56x = 35,176.97
  5. Step 5: Solve for x
    x = 35,176.97/205.56
  6. Step 6: Final answer
    x = 171.13

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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.