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Finding the Fourth Proportional to 203.08, 280 and 129.28

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Solution

The fourth proportional to 203.08, 280 and 129.28 is: 178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.08 : 280 = 129.28 : x
  2. Step 2: Convert to fraction form
    203.08/280 = 129.28/x
  3. Step 3: Cross multiply
    203.08x = 280 × 129.28
  4. Step 4: Simplify right side
    203.08x = 36,198.40
  5. Step 5: Solve for x
    x = 36,198.40/203.08
  6. Step 6: Final answer
    x = 178.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.