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Finding the Fourth Proportional to 204.46, 305.20 and 189.42

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Solution

The fourth proportional to 204.46, 305.20 and 189.42 is: 282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.46 : 305.20 = 189.42 : x
  2. Step 2: Convert to fraction form
    204.46/305.20 = 189.42/x
  3. Step 3: Cross multiply
    204.46x = 305.20 × 189.42
  4. Step 4: Simplify right side
    204.46x = 57,810.98
  5. Step 5: Solve for x
    x = 57,810.98/204.46
  6. Step 6: Final answer
    x = 282.75

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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.