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Finding the Fourth Proportional to 203.52, 280.68 and 161.76

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Solution

The fourth proportional to 203.52, 280.68 and 161.76 is: 223.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.52 : 280.68 = 161.76 : x
  2. Step 2: Convert to fraction form
    203.52/280.68 = 161.76/x
  3. Step 3: Cross multiply
    203.52x = 280.68 × 161.76
  4. Step 4: Simplify right side
    203.52x = 45,402.80
  5. Step 5: Solve for x
    x = 45,402.80/203.52
  6. Step 6: Final answer
    x = 223.09

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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.