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Finding the Fourth Proportional to 203.30, 280.47 and 119.28

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Solution

The fourth proportional to 203.30, 280.47 and 119.28 is: 164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.30 : 280.47 = 119.28 : x
  2. Step 2: Convert to fraction form
    203.30/280.47 = 119.28/x
  3. Step 3: Cross multiply
    203.30x = 280.47 × 119.28
  4. Step 4: Simplify right side
    203.30x = 33,454.46
  5. Step 5: Solve for x
    x = 33,454.46/203.30
  6. Step 6: Final answer
    x = 164.56

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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.