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Finding the Fourth Proportional to 206.56, 309.85 and 141.41

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Solution

The fourth proportional to 206.56, 309.85 and 141.41 is: 212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.56 : 309.85 = 141.41 : x
  2. Step 2: Convert to fraction form
    206.56/309.85 = 141.41/x
  3. Step 3: Cross multiply
    206.56x = 309.85 × 141.41
  4. Step 4: Simplify right side
    206.56x = 43,814.34
  5. Step 5: Solve for x
    x = 43,814.34/206.56
  6. Step 6: Final answer
    x = 212.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.