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Finding the Fourth Proportional to 281.64, 422.42 and 119.32

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Solution

The fourth proportional to 281.64, 422.42 and 119.32 is: 178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.64 : 422.42 = 119.32 : x
  2. Step 2: Convert to fraction form
    281.64/422.42 = 119.32/x
  3. Step 3: Cross multiply
    281.64x = 422.42 × 119.32
  4. Step 4: Simplify right side
    281.64x = 50,403.15
  5. Step 5: Solve for x
    x = 50,403.15/281.64
  6. Step 6: Final answer
    x = 178.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.