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Finding the Fourth Proportional to 206.40, 284.16 and 195.60

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Solution

The fourth proportional to 206.40, 284.16 and 195.60 is: 269.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.40 : 284.16 = 195.60 : x
  2. Step 2: Convert to fraction form
    206.40/284.16 = 195.60/x
  3. Step 3: Cross multiply
    206.40x = 284.16 × 195.60
  4. Step 4: Simplify right side
    206.40x = 55,581.70
  5. Step 5: Solve for x
    x = 55,581.70/206.40
  6. Step 6: Final answer
    x = 269.29

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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.