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Finding the Fourth Proportional to 203.05, 280.13 and 120.16

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Solution

The fourth proportional to 203.05, 280.13 and 120.16 is: 165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.05 : 280.13 = 120.16 : x
  2. Step 2: Convert to fraction form
    203.05/280.13 = 120.16/x
  3. Step 3: Cross multiply
    203.05x = 280.13 × 120.16
  4. Step 4: Simplify right side
    203.05x = 33,659.02
  5. Step 5: Solve for x
    x = 33,659.02/203.05
  6. Step 6: Final answer
    x = 165.77

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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.