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Finding the Fourth Proportional to 205.85, 307.23 and 189.57

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Solution

The fourth proportional to 205.85, 307.23 and 189.57 is: 282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.85 : 307.23 = 189.57 : x
  2. Step 2: Convert to fraction form
    205.85/307.23 = 189.57/x
  3. Step 3: Cross multiply
    205.85x = 307.23 × 189.57
  4. Step 4: Simplify right side
    205.85x = 58,241.59
  5. Step 5: Solve for x
    x = 58,241.59/205.85
  6. Step 6: Final answer
    x = 282.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.