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Finding the Fourth Proportional to 309.50, 426.97 and 203.17

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Solution

The fourth proportional to 309.50, 426.97 and 203.17 is: 280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.50 : 426.97 = 203.17 : x
  2. Step 2: Convert to fraction form
    309.50/426.97 = 203.17/x
  3. Step 3: Cross multiply
    309.50x = 426.97 × 203.17
  4. Step 4: Simplify right side
    309.50x = 86,747.49
  5. Step 5: Solve for x
    x = 86,747.49/309.50
  6. Step 6: Final answer
    x = 280.28

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