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Finding the Fourth Proportional to 206.44, 309.76 and 84.80

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Solution

The fourth proportional to 206.44, 309.76 and 84.80 is: 127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.44 : 309.76 = 84.80 : x
  2. Step 2: Convert to fraction form
    206.44/309.76 = 84.80/x
  3. Step 3: Cross multiply
    206.44x = 309.76 × 84.80
  4. Step 4: Simplify right side
    206.44x = 26,268.21
  5. Step 5: Solve for x
    x = 26,268.21/206.44
  6. Step 6: Final answer
    x = 127.25

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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.