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Finding the Fourth Proportional to 204.21, 281.89 and 149.34

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Solution

The fourth proportional to 204.21, 281.89 and 149.34 is: 206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.21 : 281.89 = 149.34 : x
  2. Step 2: Convert to fraction form
    204.21/281.89 = 149.34/x
  3. Step 3: Cross multiply
    204.21x = 281.89 × 149.34
  4. Step 4: Simplify right side
    204.21x = 42,097.45
  5. Step 5: Solve for x
    x = 42,097.45/204.21
  6. Step 6: Final answer
    x = 206.15

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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.