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Finding the Fourth Proportional to 232.01, 347.90 and 209.39

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Solution

The fourth proportional to 232.01, 347.90 and 209.39 is: 313.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.01 : 347.90 = 209.39 : x
  2. Step 2: Convert to fraction form
    232.01/347.90 = 209.39/x
  3. Step 3: Cross multiply
    232.01x = 347.90 × 209.39
  4. Step 4: Simplify right side
    232.01x = 72,846.78
  5. Step 5: Solve for x
    x = 72,846.78/232.01
  6. Step 6: Final answer
    x = 313.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.