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Finding the Fourth Proportional to 205.82, 308.93 and 114.58

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Solution

The fourth proportional to 205.82, 308.93 and 114.58 is: 171.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.82 : 308.93 = 114.58 : x
  2. Step 2: Convert to fraction form
    205.82/308.93 = 114.58/x
  3. Step 3: Cross multiply
    205.82x = 308.93 × 114.58
  4. Step 4: Simplify right side
    205.82x = 35,395.85
  5. Step 5: Solve for x
    x = 35,395.85/205.82
  6. Step 6: Final answer
    x = 171.98

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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.