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Finding the Fourth Proportional to 203.85, 281.10 and 130.17

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Solution

The fourth proportional to 203.85, 281.10 and 130.17 is: 179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.85 : 281.10 = 130.17 : x
  2. Step 2: Convert to fraction form
    203.85/281.10 = 130.17/x
  3. Step 3: Cross multiply
    203.85x = 281.10 × 130.17
  4. Step 4: Simplify right side
    203.85x = 36,590.79
  5. Step 5: Solve for x
    x = 36,590.79/203.85
  6. Step 6: Final answer
    x = 179.50

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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.