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Finding the Fourth Proportional to 205.46, 283.37 and 143.30

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Solution

The fourth proportional to 205.46, 283.37 and 143.30 is: 197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.46 : 283.37 = 143.30 : x
  2. Step 2: Convert to fraction form
    205.46/283.37 = 143.30/x
  3. Step 3: Cross multiply
    205.46x = 283.37 × 143.30
  4. Step 4: Simplify right side
    205.46x = 40,606.92
  5. Step 5: Solve for x
    x = 40,606.92/205.46
  6. Step 6: Final answer
    x = 197.64

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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.