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Finding the Fourth Proportional to 204.98, 305.99 and 180.68

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Solution

The fourth proportional to 204.98, 305.99 and 180.68 is: 269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.98 : 305.99 = 180.68 : x
  2. Step 2: Convert to fraction form
    204.98/305.99 = 180.68/x
  3. Step 3: Cross multiply
    204.98x = 305.99 × 180.68
  4. Step 4: Simplify right side
    204.98x = 55,285.37
  5. Step 5: Solve for x
    x = 55,285.37/204.98
  6. Step 6: Final answer
    x = 269.71

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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.