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Finding the Fourth Proportional to 232.66, 348.75 and 230.11

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Solution

The fourth proportional to 232.66, 348.75 and 230.11 is: 344.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.66 : 348.75 = 230.11 : x
  2. Step 2: Convert to fraction form
    232.66/348.75 = 230.11/x
  3. Step 3: Cross multiply
    232.66x = 348.75 × 230.11
  4. Step 4: Simplify right side
    232.66x = 80,249.99
  5. Step 5: Solve for x
    x = 80,249.99/232.66
  6. Step 6: Final answer
    x = 344.92

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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.