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Finding the Fourth Proportional to 206.86, 310.56 and 141.67

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Solution

The fourth proportional to 206.86, 310.56 and 141.67 is: 212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.86 : 310.56 = 141.67 : x
  2. Step 2: Convert to fraction form
    206.86/310.56 = 141.67/x
  3. Step 3: Cross multiply
    206.86x = 310.56 × 141.67
  4. Step 4: Simplify right side
    206.86x = 43,997.04
  5. Step 5: Solve for x
    x = 43,997.04/206.86
  6. Step 6: Final answer
    x = 212.69

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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.