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Finding the Fourth Proportional to 205.95, 284.94 and 180.15

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Solution

The fourth proportional to 205.95, 284.94 and 180.15 is: 249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.95 : 284.94 = 180.15 : x
  2. Step 2: Convert to fraction form
    205.95/284.94 = 180.15/x
  3. Step 3: Cross multiply
    205.95x = 284.94 × 180.15
  4. Step 4: Simplify right side
    205.95x = 51,331.94
  5. Step 5: Solve for x
    x = 51,331.94/205.95
  6. Step 6: Final answer
    x = 249.24

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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.