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Finding the Fourth Proportional to 203.28, 305.22 and 180.50

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Solution

The fourth proportional to 203.28, 305.22 and 180.50 is: 271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.28 : 305.22 = 180.50 : x
  2. Step 2: Convert to fraction form
    203.28/305.22 = 180.50/x
  3. Step 3: Cross multiply
    203.28x = 305.22 × 180.50
  4. Step 4: Simplify right side
    203.28x = 55,092.21
  5. Step 5: Solve for x
    x = 55,092.21/203.28
  6. Step 6: Final answer
    x = 271.02

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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.