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Finding the Fourth Proportional to 232.24, 348.32 and 186.86

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Solution

The fourth proportional to 232.24, 348.32 and 186.86 is: 280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.24 : 348.32 = 186.86 : x
  2. Step 2: Convert to fraction form
    232.24/348.32 = 186.86/x
  3. Step 3: Cross multiply
    232.24x = 348.32 × 186.86
  4. Step 4: Simplify right side
    232.24x = 65,085.33
  5. Step 5: Solve for x
    x = 65,085.33/232.24
  6. Step 6: Final answer
    x = 280.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.