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Finding the Fourth Proportional to 203.04, 280.22 and 120.17

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Solution

The fourth proportional to 203.04, 280.22 and 120.17 is: 165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.04 : 280.22 = 120.17 : x
  2. Step 2: Convert to fraction form
    203.04/280.22 = 120.17/x
  3. Step 3: Cross multiply
    203.04x = 280.22 × 120.17
  4. Step 4: Simplify right side
    203.04x = 33,674.14
  5. Step 5: Solve for x
    x = 33,674.14/203.04
  6. Step 6: Final answer
    x = 165.85

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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.