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Finding the Fourth Proportional to 205.75, 283.94 and 128.13

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Solution

The fourth proportional to 205.75, 283.94 and 128.13 is: 176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.75 : 283.94 = 128.13 : x
  2. Step 2: Convert to fraction form
    205.75/283.94 = 128.13/x
  3. Step 3: Cross multiply
    205.75x = 283.94 × 128.13
  4. Step 4: Simplify right side
    205.75x = 36,381.23
  5. Step 5: Solve for x
    x = 36,381.23/205.75
  6. Step 6: Final answer
    x = 176.82

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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.