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Finding the Fourth Proportional to 206.16, 284.32 and 143.96

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Solution

The fourth proportional to 206.16, 284.32 and 143.96 is: 198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.16 : 284.32 = 143.96 : x
  2. Step 2: Convert to fraction form
    206.16/284.32 = 143.96/x
  3. Step 3: Cross multiply
    206.16x = 284.32 × 143.96
  4. Step 4: Simplify right side
    206.16x = 40,930.71
  5. Step 5: Solve for x
    x = 40,930.71/206.16
  6. Step 6: Final answer
    x = 198.54

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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.