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Finding the Fourth Proportional to 232.41, 348.21 and 160.59

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Solution

The fourth proportional to 232.41, 348.21 and 160.59 is: 240.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.41 : 348.21 = 160.59 : x
  2. Step 2: Convert to fraction form
    232.41/348.21 = 160.59/x
  3. Step 3: Cross multiply
    232.41x = 348.21 × 160.59
  4. Step 4: Simplify right side
    232.41x = 55,919.04
  5. Step 5: Solve for x
    x = 55,919.04/232.41
  6. Step 6: Final answer
    x = 240.61

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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.