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Finding the Fourth Proportional to 203.24, 280.34 and 137.72

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Solution

The fourth proportional to 203.24, 280.34 and 137.72 is: 189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.24 : 280.34 = 137.72 : x
  2. Step 2: Convert to fraction form
    203.24/280.34 = 137.72/x
  3. Step 3: Cross multiply
    203.24x = 280.34 × 137.72
  4. Step 4: Simplify right side
    203.24x = 38,608.42
  5. Step 5: Solve for x
    x = 38,608.42/203.24
  6. Step 6: Final answer
    x = 189.96

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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.