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Finding the Fourth Proportional to 232.05, 347.85 and 207.75

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Solution

The fourth proportional to 232.05, 347.85 and 207.75 is: 311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.05 : 347.85 = 207.75 : x
  2. Step 2: Convert to fraction form
    232.05/347.85 = 207.75/x
  3. Step 3: Cross multiply
    232.05x = 347.85 × 207.75
  4. Step 4: Simplify right side
    232.05x = 72,265.84
  5. Step 5: Solve for x
    x = 72,265.84/232.05
  6. Step 6: Final answer
    x = 311.42

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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.