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Finding the Fourth Proportional to 220.82, 330.90 and 180.32

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Solution

The fourth proportional to 220.82, 330.90 and 180.32 is: 270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.82 : 330.90 = 180.32 : x
  2. Step 2: Convert to fraction form
    220.82/330.90 = 180.32/x
  3. Step 3: Cross multiply
    220.82x = 330.90 × 180.32
  4. Step 4: Simplify right side
    220.82x = 59,667.89
  5. Step 5: Solve for x
    x = 59,667.89/220.82
  6. Step 6: Final answer
    x = 270.21

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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.