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Finding the Fourth Proportional to 206.73, 309.83 and 84.93

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Solution

The fourth proportional to 206.73, 309.83 and 84.93 is: 127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.73 : 309.83 = 84.93 : x
  2. Step 2: Convert to fraction form
    206.73/309.83 = 84.93/x
  3. Step 3: Cross multiply
    206.73x = 309.83 × 84.93
  4. Step 4: Simplify right side
    206.73x = 26,313.76
  5. Step 5: Solve for x
    x = 26,313.76/206.73
  6. Step 6: Final answer
    x = 127.28

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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.