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Finding the Fourth Proportional to 205.99, 284.20 and 180.03

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Solution

The fourth proportional to 205.99, 284.20 and 180.03 is: 248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.99 : 284.20 = 180.03 : x
  2. Step 2: Convert to fraction form
    205.99/284.20 = 180.03/x
  3. Step 3: Cross multiply
    205.99x = 284.20 × 180.03
  4. Step 4: Simplify right side
    205.99x = 51,164.53
  5. Step 5: Solve for x
    x = 51,164.53/205.99
  6. Step 6: Final answer
    x = 248.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.