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Finding the Fourth Proportional to 203.48, 280.61 and 129.82

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Solution

The fourth proportional to 203.48, 280.61 and 129.82 is: 179.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.48 : 280.61 = 129.82 : x
  2. Step 2: Convert to fraction form
    203.48/280.61 = 129.82/x
  3. Step 3: Cross multiply
    203.48x = 280.61 × 129.82
  4. Step 4: Simplify right side
    203.48x = 36,428.79
  5. Step 5: Solve for x
    x = 36,428.79/203.48
  6. Step 6: Final answer
    x = 179.03

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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.