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Finding the Fourth Proportional to 205.84, 308.86 and 114.54

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Solution

The fourth proportional to 205.84, 308.86 and 114.54 is: 171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.84 : 308.86 = 114.54 : x
  2. Step 2: Convert to fraction form
    205.84/308.86 = 114.54/x
  3. Step 3: Cross multiply
    205.84x = 308.86 × 114.54
  4. Step 4: Simplify right side
    205.84x = 35,376.82
  5. Step 5: Solve for x
    x = 35,376.82/205.84
  6. Step 6: Final answer
    x = 171.87

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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.