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Finding the Fourth Proportional to 204.96, 283.12 and 155.94

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Solution

The fourth proportional to 204.96, 283.12 and 155.94 is: 215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.96 : 283.12 = 155.94 : x
  2. Step 2: Convert to fraction form
    204.96/283.12 = 155.94/x
  3. Step 3: Cross multiply
    204.96x = 283.12 × 155.94
  4. Step 4: Simplify right side
    204.96x = 44,149.73
  5. Step 5: Solve for x
    x = 44,149.73/204.96
  6. Step 6: Final answer
    x = 215.41

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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.