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Finding the Fourth Proportional to 205.29, 283.20 and 126.59

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Solution

The fourth proportional to 205.29, 283.20 and 126.59 is: 174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.29 : 283.20 = 126.59 : x
  2. Step 2: Convert to fraction form
    205.29/283.20 = 126.59/x
  3. Step 3: Cross multiply
    205.29x = 283.20 × 126.59
  4. Step 4: Simplify right side
    205.29x = 35,848.40
  5. Step 5: Solve for x
    x = 35,848.40/205.29
  6. Step 6: Final answer
    x = 174.62

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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.