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Finding the Fourth Proportional to 206.57, 309.96 and 84.80

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Solution

The fourth proportional to 206.57, 309.96 and 84.80 is: 127.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.57 : 309.96 = 84.80 : x
  2. Step 2: Convert to fraction form
    206.57/309.96 = 84.80/x
  3. Step 3: Cross multiply
    206.57x = 309.96 × 84.80
  4. Step 4: Simplify right side
    206.57x = 26,283.06
  5. Step 5: Solve for x
    x = 26,283.06/206.57
  6. Step 6: Final answer
    x = 127.24

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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.