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Finding the Fourth Proportional to 205.48, 283.54 and 126.80

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Solution

The fourth proportional to 205.48, 283.54 and 126.80 is: 174.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.48 : 283.54 = 126.80 : x
  2. Step 2: Convert to fraction form
    205.48/283.54 = 126.80/x
  3. Step 3: Cross multiply
    205.48x = 283.54 × 126.80
  4. Step 4: Simplify right side
    205.48x = 35,952.87
  5. Step 5: Solve for x
    x = 35,952.87/205.48
  6. Step 6: Final answer
    x = 174.97

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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.