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Finding the Fourth Proportional to 203.50, 280.76 and 120.63

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Solution

The fourth proportional to 203.50, 280.76 and 120.63 is: 166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.50 : 280.76 = 120.63 : x
  2. Step 2: Convert to fraction form
    203.50/280.76 = 120.63/x
  3. Step 3: Cross multiply
    203.50x = 280.76 × 120.63
  4. Step 4: Simplify right side
    203.50x = 33,868.08
  5. Step 5: Solve for x
    x = 33,868.08/203.50
  6. Step 6: Final answer
    x = 166.43

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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.