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Finding the Fourth Proportional to 205.63, 283.80 and 122.74

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Solution

The fourth proportional to 205.63, 283.80 and 122.74 is: 169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.63 : 283.80 = 122.74 : x
  2. Step 2: Convert to fraction form
    205.63/283.80 = 122.74/x
  3. Step 3: Cross multiply
    205.63x = 283.80 × 122.74
  4. Step 4: Simplify right side
    205.63x = 34,833.61
  5. Step 5: Solve for x
    x = 34,833.61/205.63
  6. Step 6: Final answer
    x = 169.40

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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.