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Finding the Fourth Proportional to 206.42, 285 and 169.70

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Solution

The fourth proportional to 206.42, 285 and 169.70 is: 234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.42 : 285 = 169.70 : x
  2. Step 2: Convert to fraction form
    206.42/285 = 169.70/x
  3. Step 3: Cross multiply
    206.42x = 285 × 169.70
  4. Step 4: Simplify right side
    206.42x = 48,364.50
  5. Step 5: Solve for x
    x = 48,364.50/206.42
  6. Step 6: Final answer
    x = 234.30

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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.