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Finding the Fourth Proportional to 232.86, 348.80 and 186.96

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Solution

The fourth proportional to 232.86, 348.80 and 186.96 is: 280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.86 : 348.80 = 186.96 : x
  2. Step 2: Convert to fraction form
    232.86/348.80 = 186.96/x
  3. Step 3: Cross multiply
    232.86x = 348.80 × 186.96
  4. Step 4: Simplify right side
    232.86x = 65,211.65
  5. Step 5: Solve for x
    x = 65,211.65/232.86
  6. Step 6: Final answer
    x = 280.05

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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.