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Finding the Fourth Proportional to 203.24, 280.52 and 125.68

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Solution

The fourth proportional to 203.24, 280.52 and 125.68 is: 173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.24 : 280.52 = 125.68 : x
  2. Step 2: Convert to fraction form
    203.24/280.52 = 125.68/x
  3. Step 3: Cross multiply
    203.24x = 280.52 × 125.68
  4. Step 4: Simplify right side
    203.24x = 35,255.75
  5. Step 5: Solve for x
    x = 35,255.75/203.24
  6. Step 6: Final answer
    x = 173.47

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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.