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Finding the Fourth Proportional to 203.18, 280.32 and 120.26

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Solution

The fourth proportional to 203.18, 280.32 and 120.26 is: 165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.18 : 280.32 = 120.26 : x
  2. Step 2: Convert to fraction form
    203.18/280.32 = 120.26/x
  3. Step 3: Cross multiply
    203.18x = 280.32 × 120.26
  4. Step 4: Simplify right side
    203.18x = 33,711.28
  5. Step 5: Solve for x
    x = 33,711.28/203.18
  6. Step 6: Final answer
    x = 165.92

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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.