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Finding the Fourth Proportional to 206.45, 285.14 and 160.38

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Solution

The fourth proportional to 206.45, 285.14 and 160.38 is: 221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.45 : 285.14 = 160.38 : x
  2. Step 2: Convert to fraction form
    206.45/285.14 = 160.38/x
  3. Step 3: Cross multiply
    206.45x = 285.14 × 160.38
  4. Step 4: Simplify right side
    206.45x = 45,729.95
  5. Step 5: Solve for x
    x = 45,729.95/206.45
  6. Step 6: Final answer
    x = 221.51

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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.