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Finding the Fourth Proportional to 206.27, 308.84 and 114.74

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Solution

The fourth proportional to 206.27, 308.84 and 114.74 is: 171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.27 : 308.84 = 114.74 : x
  2. Step 2: Convert to fraction form
    206.27/308.84 = 114.74/x
  3. Step 3: Cross multiply
    206.27x = 308.84 × 114.74
  4. Step 4: Simplify right side
    206.27x = 35,434.18
  5. Step 5: Solve for x
    x = 35,434.18/206.27
  6. Step 6: Final answer
    x = 171.79

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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.