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Finding the Fourth Proportional to 205.80, 283.94 and 127.14

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Solution

The fourth proportional to 205.80, 283.94 and 127.14 is: 175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.80 : 283.94 = 127.14 : x
  2. Step 2: Convert to fraction form
    205.80/283.94 = 127.14/x
  3. Step 3: Cross multiply
    205.80x = 283.94 × 127.14
  4. Step 4: Simplify right side
    205.80x = 36,100.13
  5. Step 5: Solve for x
    x = 36,100.13/205.80
  6. Step 6: Final answer
    x = 175.41

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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.