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Finding the Fourth Proportional to 281.82, 422.50 and 135.49

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Solution

The fourth proportional to 281.82, 422.50 and 135.49 is: 203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.82 : 422.50 = 135.49 : x
  2. Step 2: Convert to fraction form
    281.82/422.50 = 135.49/x
  3. Step 3: Cross multiply
    281.82x = 422.50 × 135.49
  4. Step 4: Simplify right side
    281.82x = 57,244.53
  5. Step 5: Solve for x
    x = 57,244.53/281.82
  6. Step 6: Final answer
    x = 203.12

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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.