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Finding the Fourth Proportional to 204.90, 305.85 and 191.22

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Solution

The fourth proportional to 204.90, 305.85 and 191.22 is: 285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.90 : 305.85 = 191.22 : x
  2. Step 2: Convert to fraction form
    204.90/305.85 = 191.22/x
  3. Step 3: Cross multiply
    204.90x = 305.85 × 191.22
  4. Step 4: Simplify right side
    204.90x = 58,484.64
  5. Step 5: Solve for x
    x = 58,484.64/204.90
  6. Step 6: Final answer
    x = 285.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.