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Finding the Fourth Proportional to 203.14, 280.43 and 120.34

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Solution

The fourth proportional to 203.14, 280.43 and 120.34 is: 166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.14 : 280.43 = 120.34 : x
  2. Step 2: Convert to fraction form
    203.14/280.43 = 120.34/x
  3. Step 3: Cross multiply
    203.14x = 280.43 × 120.34
  4. Step 4: Simplify right side
    203.14x = 33,746.95
  5. Step 5: Solve for x
    x = 33,746.95/203.14
  6. Step 6: Final answer
    x = 166.13

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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.