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Finding the Fourth Proportional to 206.29, 309.45 and 84.61

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Solution

The fourth proportional to 206.29, 309.45 and 84.61 is: 126.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.29 : 309.45 = 84.61 : x
  2. Step 2: Convert to fraction form
    206.29/309.45 = 84.61/x
  3. Step 3: Cross multiply
    206.29x = 309.45 × 84.61
  4. Step 4: Simplify right side
    206.29x = 26,181.02
  5. Step 5: Solve for x
    x = 26,181.02/206.29
  6. Step 6: Final answer
    x = 126.92

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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.