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Finding the Fourth Proportional to 203.14, 280.34 and 120.25

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Solution

The fourth proportional to 203.14, 280.34 and 120.25 is: 165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.14 : 280.34 = 120.25 : x
  2. Step 2: Convert to fraction form
    203.14/280.34 = 120.25/x
  3. Step 3: Cross multiply
    203.14x = 280.34 × 120.25
  4. Step 4: Simplify right side
    203.14x = 33,710.89
  5. Step 5: Solve for x
    x = 33,710.89/203.14
  6. Step 6: Final answer
    x = 165.95

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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.