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Finding the Fourth Proportional to 203.83, 281.49 and 130.18

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Solution

The fourth proportional to 203.83, 281.49 and 130.18 is: 179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.83 : 281.49 = 130.18 : x
  2. Step 2: Convert to fraction form
    203.83/281.49 = 130.18/x
  3. Step 3: Cross multiply
    203.83x = 281.49 × 130.18
  4. Step 4: Simplify right side
    203.83x = 36,644.37
  5. Step 5: Solve for x
    x = 36,644.37/203.83
  6. Step 6: Final answer
    x = 179.78

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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.