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Finding the Fourth Proportional to 244.80, 337.77 and 205.61

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Solution

The fourth proportional to 244.80, 337.77 and 205.61 is: 283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.80 : 337.77 = 205.61 : x
  2. Step 2: Convert to fraction form
    244.80/337.77 = 205.61/x
  3. Step 3: Cross multiply
    244.80x = 337.77 × 205.61
  4. Step 4: Simplify right side
    244.80x = 69,447.20
  5. Step 5: Solve for x
    x = 69,447.20/244.80
  6. Step 6: Final answer
    x = 283.69

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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.