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Finding the Fourth Proportional to 281.60, 422.59 and 137.42

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Solution

The fourth proportional to 281.60, 422.59 and 137.42 is: 206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.60 : 422.59 = 137.42 : x
  2. Step 2: Convert to fraction form
    281.60/422.59 = 137.42/x
  3. Step 3: Cross multiply
    281.60x = 422.59 × 137.42
  4. Step 4: Simplify right side
    281.60x = 58,072.32
  5. Step 5: Solve for x
    x = 58,072.32/281.60
  6. Step 6: Final answer
    x = 206.22

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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.