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Finding the Fourth Proportional to 206.08, 284.02 and 161.82

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Solution

The fourth proportional to 206.08, 284.02 and 161.82 is: 223.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.08 : 284.02 = 161.82 : x
  2. Step 2: Convert to fraction form
    206.08/284.02 = 161.82/x
  3. Step 3: Cross multiply
    206.08x = 284.02 × 161.82
  4. Step 4: Simplify right side
    206.08x = 45,959.71
  5. Step 5: Solve for x
    x = 45,959.71/206.08
  6. Step 6: Final answer
    x = 223.02

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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.