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Finding the Fourth Proportional to 204.38, 281.84 and 130.67

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Solution

The fourth proportional to 204.38, 281.84 and 130.67 is: 180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.38 : 281.84 = 130.67 : x
  2. Step 2: Convert to fraction form
    204.38/281.84 = 130.67/x
  3. Step 3: Cross multiply
    204.38x = 281.84 × 130.67
  4. Step 4: Simplify right side
    204.38x = 36,826.30
  5. Step 5: Solve for x
    x = 36,826.30/204.38
  6. Step 6: Final answer
    x = 180.19

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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.