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Finding the Fourth Proportional to 205.32, 283.40 and 126.69

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Solution

The fourth proportional to 205.32, 283.40 and 126.69 is: 174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.32 : 283.40 = 126.69 : x
  2. Step 2: Convert to fraction form
    205.32/283.40 = 126.69/x
  3. Step 3: Cross multiply
    205.32x = 283.40 × 126.69
  4. Step 4: Simplify right side
    205.32x = 35,903.31
  5. Step 5: Solve for x
    x = 35,903.31/205.32
  6. Step 6: Final answer
    x = 174.87

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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.