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Finding the Fourth Proportional to 232.26, 346.89 and 186.69

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Solution

The fourth proportional to 232.26, 346.89 and 186.69 is: 278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.26 : 346.89 = 186.69 : x
  2. Step 2: Convert to fraction form
    232.26/346.89 = 186.69/x
  3. Step 3: Cross multiply
    232.26x = 346.89 × 186.69
  4. Step 4: Simplify right side
    232.26x = 64,760.89
  5. Step 5: Solve for x
    x = 64,760.89/232.26
  6. Step 6: Final answer
    x = 278.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.