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Finding the Fourth Proportional to 232.70, 349.38 and 201.93

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Solution

The fourth proportional to 232.70, 349.38 and 201.93 is: 303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.70 : 349.38 = 201.93 : x
  2. Step 2: Convert to fraction form
    232.70/349.38 = 201.93/x
  3. Step 3: Cross multiply
    232.70x = 349.38 × 201.93
  4. Step 4: Simplify right side
    232.70x = 70,550.30
  5. Step 5: Solve for x
    x = 70,550.30/232.70
  6. Step 6: Final answer
    x = 303.19

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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.