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Finding the Fourth Proportional to 203.67, 280.98 and 126

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Solution

The fourth proportional to 203.67, 280.98 and 126 is: 173.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.67 : 280.98 = 126 : x
  2. Step 2: Convert to fraction form
    203.67/280.98 = 126/x
  3. Step 3: Cross multiply
    203.67x = 280.98 × 126
  4. Step 4: Simplify right side
    203.67x = 35,403.48
  5. Step 5: Solve for x
    x = 35,403.48/203.67
  6. Step 6: Final answer
    x = 173.83

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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.