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Finding the Fourth Proportional to 232.12, 347.66 and 180.68

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Solution

The fourth proportional to 232.12, 347.66 and 180.68 is: 270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.12 : 347.66 = 180.68 : x
  2. Step 2: Convert to fraction form
    232.12/347.66 = 180.68/x
  3. Step 3: Cross multiply
    232.12x = 347.66 × 180.68
  4. Step 4: Simplify right side
    232.12x = 62,815.21
  5. Step 5: Solve for x
    x = 62,815.21/232.12
  6. Step 6: Final answer
    x = 270.62

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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.