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Finding the Fourth Proportional to 206.18, 284.46 and 164.67

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Solution

The fourth proportional to 206.18, 284.46 and 164.67 is: 227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.18 : 284.46 = 164.67 : x
  2. Step 2: Convert to fraction form
    206.18/284.46 = 164.67/x
  3. Step 3: Cross multiply
    206.18x = 284.46 × 164.67
  4. Step 4: Simplify right side
    206.18x = 46,841.27
  5. Step 5: Solve for x
    x = 46,841.27/206.18
  6. Step 6: Final answer
    x = 227.19

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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.