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Finding the Fourth Proportional to 205.02, 306.78 and 180.72

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Solution

The fourth proportional to 205.02, 306.78 and 180.72 is: 270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.02 : 306.78 = 180.72 : x
  2. Step 2: Convert to fraction form
    205.02/306.78 = 180.72/x
  3. Step 3: Cross multiply
    205.02x = 306.78 × 180.72
  4. Step 4: Simplify right side
    205.02x = 55,441.28
  5. Step 5: Solve for x
    x = 55,441.28/205.02
  6. Step 6: Final answer
    x = 270.42

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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.