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Finding the Fourth Proportional to 205.92, 309.18 and 180.42

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Solution

The fourth proportional to 205.92, 309.18 and 180.42 is: 270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.92 : 309.18 = 180.42 : x
  2. Step 2: Convert to fraction form
    205.92/309.18 = 180.42/x
  3. Step 3: Cross multiply
    205.92x = 309.18 × 180.42
  4. Step 4: Simplify right side
    205.92x = 55,782.26
  5. Step 5: Solve for x
    x = 55,782.26/205.92
  6. Step 6: Final answer
    x = 270.89

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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.