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Finding the Fourth Proportional to 206.42, 309.69 and 84.92

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Solution

The fourth proportional to 206.42, 309.69 and 84.92 is: 127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.42 : 309.69 = 84.92 : x
  2. Step 2: Convert to fraction form
    206.42/309.69 = 84.92/x
  3. Step 3: Cross multiply
    206.42x = 309.69 × 84.92
  4. Step 4: Simplify right side
    206.42x = 26,297.33
  5. Step 5: Solve for x
    x = 26,297.33/206.42
  6. Step 6: Final answer
    x = 127.40

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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.