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Finding the Fourth Proportional to 232.21, 347.77 and 180.51

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Solution

The fourth proportional to 232.21, 347.77 and 180.51 is: 270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.21 : 347.77 = 180.51 : x
  2. Step 2: Convert to fraction form
    232.21/347.77 = 180.51/x
  3. Step 3: Cross multiply
    232.21x = 347.77 × 180.51
  4. Step 4: Simplify right side
    232.21x = 62,775.96
  5. Step 5: Solve for x
    x = 62,775.96/232.21
  6. Step 6: Final answer
    x = 270.34

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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.