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Finding the Fourth Proportional to 309.87, 427.76 and 206.43

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Solution

The fourth proportional to 309.87, 427.76 and 206.43 is: 284.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.87 : 427.76 = 206.43 : x
  2. Step 2: Convert to fraction form
    309.87/427.76 = 206.43/x
  3. Step 3: Cross multiply
    309.87x = 427.76 × 206.43
  4. Step 4: Simplify right side
    309.87x = 88,301.46
  5. Step 5: Solve for x
    x = 88,301.46/309.87
  6. Step 6: Final answer
    x = 284.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.