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Finding the Fourth Proportional to 206.41, 309.68 and 84.68

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Solution

The fourth proportional to 206.41, 309.68 and 84.68 is: 127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.41 : 309.68 = 84.68 : x
  2. Step 2: Convert to fraction form
    206.41/309.68 = 84.68/x
  3. Step 3: Cross multiply
    206.41x = 309.68 × 84.68
  4. Step 4: Simplify right side
    206.41x = 26,223.70
  5. Step 5: Solve for x
    x = 26,223.70/206.41
  6. Step 6: Final answer
    x = 127.05

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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.