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Finding the Fourth Proportional to 206.05, 308.88 and 169.60

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Solution

The fourth proportional to 206.05, 308.88 and 169.60 is: 254.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.05 : 308.88 = 169.60 : x
  2. Step 2: Convert to fraction form
    206.05/308.88 = 169.60/x
  3. Step 3: Cross multiply
    206.05x = 308.88 × 169.60
  4. Step 4: Simplify right side
    206.05x = 52,386.05
  5. Step 5: Solve for x
    x = 52,386.05/206.05
  6. Step 6: Final answer
    x = 254.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.