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Finding the Fourth Proportional to 206.12, 284.26 and 166.76

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Solution

The fourth proportional to 206.12, 284.26 and 166.76 is: 229.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.12 : 284.26 = 166.76 : x
  2. Step 2: Convert to fraction form
    206.12/284.26 = 166.76/x
  3. Step 3: Cross multiply
    206.12x = 284.26 × 166.76
  4. Step 4: Simplify right side
    206.12x = 47,403.20
  5. Step 5: Solve for x
    x = 47,403.20/206.12
  6. Step 6: Final answer
    x = 229.98

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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.